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Mit ihr arbeitet die abc-Formel.",[571,858,859,577,862,996,997,1056,1057,1086],{},[574,860,861],{},"Normalform:",[579,863,865,898],{"className":864},[582],[579,866,868],{"className":867},[586],[588,869,870],{"xmlns":590},[592,871,872,895],{},[595,873,874,880,882,884,886,888,891,893],{},[602,875,876,878],{},[598,877,606],{},[608,879,610],{},[612,881,614],{},[598,883,564],{},[598,885,606],{},[612,887,614],{},[598,889,890],{},"q",[612,892,627],{},[608,894,630],{},[632,896,897],{"encoding":634},"x^2 + px + q = 0",[579,899,901,945,967,987],{"className":900,"ariaHidden":640},[639],[579,902,904,907,936,939,942],{"className":903},[644],[579,905],{"className":906,"style":649},[648],[579,908,910,913],{"className":909},[653],[579,911,606],{"className":912},[653,654],[579,914,916],{"className":915},[664],[579,917,919],{"className":918},[668],[579,920,922],{"className":921},[672],[579,923,925],{"className":924,"style":677},[676],[579,926,927,930],{"style":680},[579,928],{"className":929,"style":685},[684],[579,931,933],{"className":932},[689,690,691,692],[579,934,610],{"className":935},[653,692],[579,937],{"className":938,"style":700},[699],[579,940,614],{"className":941},[704],[579,943],{"className":944,"style":700},[699],[579,946,948,952,955,958,961,964],{"className":947},[644],[579,949],{"className":950,"style":951},[648],"height:0.7778em;vertical-align:-0.1944em;",[579,953,564],{"className":954},[653,654],[579,956,606],{"className":957},[653,654],[579,959],{"className":960,"style":700},[699],[579,962,614],{"className":963},[704],[579,965],{"className":966,"style":700},[699],[579,968,970,974,978,981,984],{"className":969},[644],[579,971],{"className":972,"style":973},[648],"height:0.625em;vertical-align:-0.1944em;",[579,975,890],{"className":976,"style":977},[653,654],"margin-right:0.0359em;",[579,979],{"className":980,"style":743},[699],[579,982,627],{"className":983},[747],[579,985],{"className":986,"style":743},[699],[579,988,990,993],{"className":989},[644],[579,991],{"className":992,"style":757},[648],[579,994,630],{"className":995},[653],". 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Mit ihr arbeitet die p-q-Formel.",[564,1088,1089],{},"So kommt man zur Normalform:",[1091,1092,1093,1125,1216],"ol",{},[571,1094,1095,1096,1124],{},"Klammern ausmultiplizieren und alle Terme auf eine Seite bringen, sodass rechts ",[579,1097,1099,1112],{"className":1098},[582],[579,1100,1102],{"className":1101},[586],[588,1103,1104],{"xmlns":590},[592,1105,1106,1110],{},[595,1107,1108],{},[608,1109,630],{},[632,1111,630],{"encoding":634},[579,1113,1115],{"className":1114,"ariaHidden":640},[639],[579,1116,1118,1121],{"className":1117},[644],[579,1119],{"className":1120,"style":757},[648],[579,1122,630],{"className":1123},[653]," steht.",[571,1126,1127,1128,1186,1187,1215],{},"Nach Potenzen ordnen: erst ",[579,1129,1131,1148],{"className":1130},[582],[579,1132,1134],{"className":1133},[586],[588,1135,1136],{"xmlns":590},[592,1137,1138,1146],{},[595,1139,1140],{},[602,1141,1142,1144],{},[598,1143,606],{},[608,1145,610],{},[632,1147,1017],{"encoding":634},[579,1149,1151],{"className":1150,"ariaHidden":640},[639],[579,1152,1154,1157],{"className":1153},[644],[579,1155],{"className":1156,"style":677},[648],[579,1158,1160,1163],{"className":1159},[653],[579,1161,606],{"className":1162},[653,654],[579,1164,1166],{"className":1165},[664],[579,1167,1169],{"className":1168},[668],[579,1170,1172],{"className":1171},[672],[579,1173,1175],{"className":1174,"style":677},[676],[579,1176,1177,1180],{"style":680},[579,1178],{"className":1179,"style":685},[684],[579,1181,1183],{"className":1182},[689,690,691,692],[579,1184,610],{"className":1185},[653,692],", dann ",[579,1188,1190,1203],{"className":1189},[582],[579,1191,1193],{"className":1192},[586],[588,1194,1195],{"xmlns":590},[592,1196,1197,1201],{},[595,1198,1199],{},[598,1200,606],{},[632,1202,606],{"encoding":634},[579,1204,1206],{"className":1205,"ariaHidden":640},[639],[579,1207,1209,1212],{"className":1208},[644],[579,1210],{"className":1211,"style":736},[648],[579,1213,606],{"className":1214},[653,654],", dann die Zahl.",[571,1217,1218,1221,1222,1250,1251,1309],{},[574,1219,1220],{},"Jeden"," Summanden durch den Faktor ",[579,1223,1225,1238],{"className":1224},[582],[579,1226,1228],{"className":1227},[586],[588,1229,1230],{"xmlns":590},[592,1231,1232,1236],{},[595,1233,1234],{},[598,1235,600],{},[632,1237,600],{"encoding":634},[579,1239,1241],{"className":1240,"ariaHidden":640},[639],[579,1242,1244,1247],{"className":1243},[644],[579,1245],{"className":1246,"style":736},[648],[579,1248,600],{"className":1249},[653,654]," vor ",[579,1252,1254,1271],{"className":1253},[582],[579,1255,1257],{"className":1256},[586],[588,1258,1259],{"xmlns":590},[592,1260,1261,1269],{},[595,1262,1263],{},[602,1264,1265,1267],{},[598,1266,606],{},[608,1268,610],{},[632,1270,1017],{"encoding":634},[579,1272,1274],{"className":1273,"ariaHidden":640},[639],[579,1275,1277,1280],{"className":1276},[644],[579,1278],{"className":1279,"style":677},[648],[579,1281,1283,1286],{"className":1282},[653],[579,1284,606],{"className":1285},[653,654],[579,1287,1289],{"className":1288},[664],[579,1290,1292],{"className":1291},[668],[579,1293,1295],{"className":1294},[672],[579,1296,1298],{"className":1297,"style":677},[676],[579,1299,1300,1303],{"style":680},[579,1301],{"className":1302,"style":685},[684],[579,1304,1306],{"className":1305},[689,690,691,692],[579,1307,610],{"className":1308},[653,692]," teilen.",[564,1311,1312,1313,1364],{},"Ist ",[579,1314,1316,1334],{"className":1315},[582],[579,1317,1319],{"className":1318},[586],[588,1320,1321],{"xmlns":590},[592,1322,1323,1331],{},[595,1324,1325,1327,1329],{},[598,1326,600],{},[612,1328,627],{},[608,1330,630],{},[632,1332,1333],{"encoding":634},"a = 0",[579,1335,1337,1355],{"className":1336,"ariaHidden":640},[639],[579,1338,1340,1343,1346,1349,1352],{"className":1339},[644],[579,1341],{"className":1342,"style":736},[648],[579,1344,600],{"className":1345},[653,654],[579,1347],{"className":1348,"style":743},[699],[579,1350,627],{"className":1351},[747],[579,1353],{"className":1354,"style":743},[699],[579,1356,1358,1361],{"className":1357},[644],[579,1359],{"className":1360,"style":757},[648],[579,1362,630],{"className":1363},[653],", fehlt der quadratische Term. Dann ist die Gleichung linear und keine quadratische Gleichung mehr.",[559,1366,1368],{"id":1367},"beispiele","Beispiele",[564,1370,1371,1372,1401],{},"Durch ",[579,1373,1375,1389],{"className":1374},[582],[579,1376,1378],{"className":1377},[586],[588,1379,1380],{"xmlns":590},[592,1381,1382,1387],{},[595,1383,1384],{},[608,1385,1386],{},"3",[632,1388,1386],{"encoding":634},[579,1390,1392],{"className":1391,"ariaHidden":640},[639],[579,1393,1395,1398],{"className":1394},[644],[579,1396],{"className":1397,"style":757},[648],[579,1399,1386],{"className":1400},[653]," teilen:",[579,1403,1406],{"className":1404},[1405],"katex-display",[579,1407,1409,1489],{"className":1408},[582],[579,1410,1412],{"className":1411},[586],[588,1413,1415],{"xmlns":590,"display":1414},"block",[592,1416,1417,1486],{},[595,1418,1419,1421,1427,1430,1433,1435,1437,1440,1442,1444,1448,1450,1455,1457,1460,1462,1465,1471,1473,1476,1478,1480,1482,1484],{},[608,1420,1386],{},[602,1422,1423,1425],{},[598,1424,606],{},[608,1426,610],{},[612,1428,1429],{},"−",[608,1431,1432],{},"12",[598,1434,606],{},[612,1436,614],{},[608,1438,1439],{},"9",[612,1441,627],{},[608,1443,630],{},[1445,1446,1447],"mtext",{},"  ",[1445,1449,1447],{},[612,1451,1454],{"fence":1452,"stretchy":640,"minsize":1453,"maxsize":1453},"false","1.2em","∣",[1445,1456,1447],{},[612,1458,1459],{},":",[608,1461,1386],{},[699,1463],{"width":1464},"2em",[602,1466,1467,1469],{},[598,1468,606],{},[608,1470,610],{},[612,1472,1429],{},[608,1474,1475],{},"4",[598,1477,606],{},[612,1479,614],{},[608,1481,1386],{},[612,1483,627],{},[608,1485,630],{},[632,1487,1488],{"encoding":634},"3x^2 - 12x + 9 = 0 \\;\\;\\big|\\; :3 \\qquad x^2 - 4x + 3 = 0",[579,1490,1492,1542,1564,1582,1663,1714,1735,1753],{"className":1491,"ariaHidden":640},[639],[579,1493,1495,1499,1502,1533,1536,1539],{"className":1494},[644],[579,1496],{"className":1497,"style":1498},[648],"height:0.9474em;vertical-align:-0.0833em;",[579,1500,1386],{"className":1501},[653],[579,1503,1505,1508],{"className":1504},[653],[579,1506,606],{"className":1507},[653,654],[579,1509,1511],{"className":1510},[664],[579,1512,1514],{"className":1513},[668],[579,1515,1517],{"className":1516},[672],[579,1518,1521],{"className":1519,"style":1520},[676],"height:0.8641em;",[579,1522,1524,1527],{"style":1523},"top:-3.113em;margin-right:0.05em;",[579,1525],{"className":1526,"style":685},[684],[579,1528,1530],{"className":1529},[689,690,691,692],[579,1531,610],{"className":1532},[653,692],[579,1534],{"className":1535,"style":700},[699],[579,1537,1429],{"className":1538},[704],[579,1540],{"className":1541,"style":700},[699],[579,1543,1545,1549,1552,1555,1558,1561],{"className":1544},[644],[579,1546],{"className":1547,"style":1548},[648],"height:0.7278em;vertical-align:-0.0833em;",[579,1550,1432],{"className":1551},[653],[579,1553,606],{"className":1554},[653,654],[579,1556],{"className":1557,"style":700},[699],[579,1559,614],{"className":1560},[704],[579,1562],{"className":1563,"style":700},[699],[579,1565,1567,1570,1573,1576,1579],{"className":1566},[644],[579,1568],{"className":1569,"style":757},[648],[579,1571,1439],{"className":1572},[653],[579,1574],{"className":1575,"style":743},[699],[579,1577,627],{"className":1578},[747],[579,1580],{"className":1581,"style":743},[699],[579,1583,1585,1589,1592,1595,1598,1651,1654,1657,1660],{"className":1584},[644],[579,1586],{"className":1587,"style":1588},[648],"height:1.2em;vertical-align:-0.35em;",[579,1590,630],{"className":1591},[653],[579,1593],{"className":1594,"style":743},[699],[579,1596],{"className":1597,"style":743},[699],[579,1599,1601],{"className":1600},[653],[579,1602,1606],{"className":1603},[1604,1605],"delimsizing","mult",[579,1607,1610,1642],{"className":1608},[668,1609],"vlist-t2",[579,1611,1613,1637],{"className":1612},[672],[579,1614,1617],{"className":1615,"style":1616},[676],"height:0.85em;",[579,1618,1620,1624],{"style":1619},"top:-2.85em;",[579,1621],{"className":1622,"style":1623},[684],"height:3.2em;",[579,1625,1627],{"style":1626},"width:0.333em;height:1.2em;",[1628,1629,1633],"svg",{"xmlns":1630,"width":1631,"height":1453,"viewBox":1632},"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg","0.333em","0 0 333 1200",[1634,1635],"path",{"d":1636},"M145 15 v585 v0 v585 c2.667,10,9.667,15,21,15\nc10,0,16.667,-5,20,-15 v-585 v0 v-585 c-2.667,-10,-9.667,-15,-21,-15\nc-10,0,-16.667,5,-20,15z M188 15 H145 v585 v0 v585 h43z",[579,1638,1641],{"className":1639},[1640],"vlist-s","​",[579,1643,1645],{"className":1644},[672],[579,1646,1649],{"className":1647,"style":1648},[676],"height:0.35em;",[579,1650],{},[579,1652],{"className":1653,"style":743},[699],[579,1655],{"className":1656,"style":743},[699],[579,1658,1459],{"className":1659},[747],[579,1661],{"className":1662,"style":743},[699],[579,1664,1666,1669,1672,1676,1705,1708,1711],{"className":1665},[644],[579,1667],{"className":1668,"style":1498},[648],[579,1670,1386],{"className":1671},[653],[579,1673],{"className":1674,"style":1675},[699],"margin-right:2em;",[579,1677,1679,1682],{"className":1678},[653],[579,1680,606],{"className":1681},[653,654],[579,1683,1685],{"className":1684},[664],[579,1686,1688],{"className":1687},[668],[579,1689,1691],{"className":1690},[672],[579,1692,1694],{"className":1693,"style":1520},[676],[579,1695,1696,1699],{"style":1523},[579,1697],{"className":1698,"style":685},[684],[579,1700,1702],{"className":1701},[689,690,691,692],[579,1703,610],{"className":1704},[653,692],[579,1706],{"className":1707,"style":700},[699],[579,1709,1429],{"className":1710},[704],[579,1712],{"className":1713,"style":700},[699],[579,1715,1717,1720,1723,1726,1729,1732],{"className":1716},[644],[579,1718],{"className":1719,"style":1548},[648],[579,1721,1475],{"className":1722},[653],[579,1724,606],{"className":1725},[653,654],[579,1727],{"className":1728,"style":700},[699],[579,1730,614],{"className":1731},[704],[579,1733],{"className":1734,"style":700},[699],[579,1736,1738,1741,1744,1747,1750],{"className":1737},[644],[579,1739],{"className":1740,"style":757},[648],[579,1742,1386],{"className":1743},[653],[579,1745],{"className":1746,"style":743},[699],[579,1748,627],{"className":1749},[747],[579,1751],{"className":1752,"style":743},[699],[579,1754,1756,1759],{"className":1755},[644],[579,1757],{"className":1758,"style":757},[648],[579,1760,630],{"className":1761},[653],[564,1763,1764,1765,1821,1822,1873,1874,1821,1971,2063],{},"Also ",[579,1766,1768,1788],{"className":1767},[582],[579,1769,1771],{"className":1770},[586],[588,1772,1773],{"xmlns":590},[592,1774,1775,1785],{},[595,1776,1777,1779,1781,1783],{},[598,1778,564],{},[612,1780,627],{},[612,1782,1429],{},[608,1784,1475],{},[632,1786,1787],{"encoding":634},"p = -4",[579,1789,1791,1809],{"className":1790,"ariaHidden":640},[639],[579,1792,1794,1797,1800,1803,1806],{"className":1793},[644],[579,1795],{"className":1796,"style":973},[648],[579,1798,564],{"className":1799},[653,654],[579,1801],{"className":1802,"style":743},[699],[579,1804,627],{"className":1805},[747],[579,1807],{"className":1808,"style":743},[699],[579,1810,1812,1815,1818],{"className":1811},[644],[579,1813],{"className":1814,"style":1548},[648],[579,1816,1429],{"className":1817},[653],[579,1819,1475],{"className":1820},[653]," und ",[579,1823,1825,1843],{"className":1824},[582],[579,1826,1828],{"className":1827},[586],[588,1829,1830],{"xmlns":590},[592,1831,1832,1840],{},[595,1833,1834,1836,1838],{},[598,1835,890],{},[612,1837,627],{},[608,1839,1386],{},[632,1841,1842],{"encoding":634},"q = 3",[579,1844,1846,1864],{"className":1845,"ariaHidden":640},[639],[579,1847,1849,1852,1855,1858,1861],{"className":1848},[644],[579,1850],{"className":1851,"style":973},[648],[579,1853,890],{"className":1854,"style":977},[653,654],[579,1856],{"className":1857,"style":743},[699],[579,1859,627],{"className":1860},[747],[579,1862],{"className":1863,"style":743},[699],[579,1865,1867,1870],{"className":1866},[644],[579,1868],{"className":1869,"style":757},[648],[579,1871,1386],{"className":1872},[653],". Die Lösungen sind ",[579,1875,1877,1900],{"className":1876},[582],[579,1878,1880],{"className":1879},[586],[588,1881,1882],{"xmlns":590},[592,1883,1884,1897],{},[595,1885,1886,1893,1895],{},[1887,1888,1889,1891],"msub",{},[598,1890,606],{},[608,1892,1071],{},[612,1894,627],{},[608,1896,1071],{},[632,1898,1899],{"encoding":634},"x_1 = 1",[579,1901,1903,1962],{"className":1902,"ariaHidden":640},[639],[579,1904,1906,1910,1953,1956,1959],{"className":1905},[644],[579,1907],{"className":1908,"style":1909},[648],"height:0.5806em;vertical-align:-0.15em;",[579,1911,1913,1916],{"className":1912},[653],[579,1914,606],{"className":1915},[653,654],[579,1917,1919],{"className":1918},[664],[579,1920,1922,1944],{"className":1921},[668,1609],[579,1923,1925,1941],{"className":1924},[672],[579,1926,1929],{"className":1927,"style":1928},[676],"height:0.3011em;",[579,1930,1932,1935],{"style":1931},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[579,1933],{"className":1934,"style":685},[684],[579,1936,1938],{"className":1937},[689,690,691,692],[579,1939,1071],{"className":1940},[653,692],[579,1942,1641],{"className":1943},[1640],[579,1945,1947],{"className":1946},[672],[579,1948,1951],{"className":1949,"style":1950},[676],"height:0.15em;",[579,1952],{},[579,1954],{"className":1955,"style":743},[699],[579,1957,627],{"className":1958},[747],[579,1960],{"className":1961,"style":743},[699],[579,1963,1965,1968],{"className":1964},[644],[579,1966],{"className":1967,"style":757},[648],[579,1969,1071],{"className":1970},[653],[579,1972,1974,1996],{"className":1973},[582],[579,1975,1977],{"className":1976},[586],[588,1978,1979],{"xmlns":590},[592,1980,1981,1993],{},[595,1982,1983,1989,1991],{},[1887,1984,1985,1987],{},[598,1986,606],{},[608,1988,610],{},[612,1990,627],{},[608,1992,1386],{},[632,1994,1995],{"encoding":634},"x_2 = 3",[579,1997,1999,2054],{"className":1998,"ariaHidden":640},[639],[579,2000,2002,2005,2045,2048,2051],{"className":2001},[644],[579,2003],{"className":2004,"style":1909},[648],[579,2006,2008,2011],{"className":2007},[653],[579,2009,606],{"className":2010},[653,654],[579,2012,2014],{"className":2013},[664],[579,2015,2017,2037],{"className":2016},[668,1609],[579,2018,2020,2034],{"className":2019},[672],[579,2021,2023],{"className":2022,"style":1928},[676],[579,2024,2025,2028],{"style":1931},[579,2026],{"className":2027,"style":685},[684],[579,2029,2031],{"className":2030},[689,690,691,692],[579,2032,610],{"className":2033},[653,692],[579,2035,1641],{"className":2036},[1640],[579,2038,2040],{"className":2039},[672],[579,2041,2043],{"className":2042,"style":1950},[676],[579,2044],{},[579,2046],{"className":2047,"style":743},[699],[579,2049,627],{"className":2050},[747],[579,2052],{"className":2053,"style":743},[699],[579,2055,2057,2060],{"className":2056},[644],[579,2058],{"className":2059,"style":757},[648],[579,2061,1386],{"className":2062},[653],".",[564,2065,2066],{},"Erst umformen:",[579,2068,2070],{"className":2069},[1405],[579,2071,2073,2174],{"className":2072},[582],[579,2074,2076],{"className":2075},[586],[588,2077,2078],{"xmlns":590,"display":1414},[592,2079,2080,2171],{},[595,2081,2082,2084,2086,2089,2091,2093,2095,2098,2100,2106,2108,2111,2113,2116,2118,2120,2126,2128,2131,2133,2135,2141,2143,2145,2147,2149,2151,2157,2159,2161,2163,2165,2167,2169],{},[608,2083,610],{},[598,2085,606],{},[612,2087,2088],{"stretchy":1452},"(",[598,2090,606],{},[612,2092,1429],{},[608,2094,1386],{},[612,2096,2097],{"stretchy":1452},")",[612,2099,627],{},[602,2101,2102,2104],{},[598,2103,606],{},[608,2105,610],{},[612,2107,1429],{},[608,2109,2110],{},"5",[1445,2112,1447],{},[612,2114,2115],{},"⇒",[1445,2117,1447],{},[608,2119,610],{},[602,2121,2122,2124],{},[598,2123,606],{},[608,2125,610],{},[612,2127,1429],{},[608,2129,2130],{},"6",[598,2132,606],{},[612,2134,627],{},[602,2136,2137,2139],{},[598,2138,606],{},[608,2140,610],{},[612,2142,1429],{},[608,2144,2110],{},[1445,2146,1447],{},[612,2148,2115],{},[1445,2150,1447],{},[602,2152,2153,2155],{},[598,2154,606],{},[608,2156,610],{},[612,2158,1429],{},[608,2160,2130],{},[598,2162,606],{},[612,2164,614],{},[608,2166,2110],{},[612,2168,627],{},[608,2170,630],{},[632,2172,2173],{"encoding":634},"2x(x - 3) = x^2 - 5 \\;\\Rightarrow\\; 2x^2 - 6x = x^2 - 5 \\;\\Rightarrow\\; x^2 - 6x + 5 = 0",[579,2175,2177,2206,2228,2272,2296,2343,2364,2408,2432,2476,2497,2515],{"className":2176,"ariaHidden":640},[639],[579,2178,2180,2184,2187,2190,2194,2197,2200,2203],{"className":2179},[644],[579,2181],{"className":2182,"style":2183},[648],"height:1em;vertical-align:-0.25em;",[579,2185,610],{"className":2186},[653],[579,2188,606],{"className":2189},[653,654],[579,2191,2088],{"className":2192},[2193],"mopen",[579,2195,606],{"className":2196},[653,654],[579,2198],{"className":2199,"style":700},[699],[579,2201,1429],{"className":2202},[704],[579,2204],{"className":2205,"style":700},[699],[579,2207,2209,2212,2215,2219,2222,2225],{"className":2208},[644],[579,2210],{"className":2211,"style":2183},[648],[579,2213,1386],{"className":2214},[653],[579,2216,2097],{"className":2217},[2218],"mclose",[579,2220],{"className":2221,"style":743},[699],[579,2223,627],{"className":2224},[747],[579,2226],{"className":2227,"style":743},[699],[579,2229,2231,2234,2263,2266,2269],{"className":2230},[644],[579,2232],{"className":2233,"style":1498},[648],[579,2235,2237,2240],{"className":2236},[653],[579,2238,606],{"className":2239},[653,654],[579,2241,2243],{"className":2242},[664],[579,2244,2246],{"className":2245},[668],[579,2247,2249],{"className":2248},[672],[579,2250,2252],{"className":2251,"style":1520},[676],[579,2253,2254,2257],{"style":1523},[579,2255],{"className":2256,"style":685},[684],[579,2258,2260],{"className":2259},[689,690,691,692],[579,2261,610],{"className":2262},[653,692],[579,2264],{"className":2265,"style":700},[699],[579,2267,1429],{"className":2268},[704],[579,2270],{"className":2271,"style":700},[699],[579,2273,2275,2278,2281,2284,2287,2290,2293],{"className":2274},[644],[579,2276],{"className":2277,"style":757},[648],[579,2279,2110],{"className":2280},[653],[579,2282],{"className":2283,"style":743},[699],[579,2285],{"className":2286,"style":743},[699],[579,2288,2115],{"className":2289},[747],[579,2291],{"className":2292,"style":743},[699],[579,2294],{"className":2295,"style":743},[699],[579,2297,2299,2302,2305,2334,2337,2340],{"className":2298},[644],[579,2300],{"className":2301,"style":1498},[648],[579,2303,610],{"className":2304},[653],[579,2306,2308,2311],{"className":2307},[653],[579,2309,606],{"className":2310},[653,654],[579,2312,2314],{"className":2313},[664],[579,2315,2317],{"className":2316},[668],[579,2318,2320],{"className":2319},[672],[579,2321,2323],{"className":2322,"style":1520},[676],[579,2324,2325,2328],{"style":1523},[579,2326],{"className":2327,"style":685},[684],[579,2329,2331],{"className":2330},[689,690,691,692],[579,2332,610],{"className":2333},[653,692],[579,2335],{"className":2336,"style":700},[699],[579,2338,1429],{"className":2339},[704],[579,2341],{"className":2342,"style":700},[699],[579,2344,2346,2349,2352,2355,2358,2361],{"className":2345},[644],[579,2347],{"className":2348,"style":757},[648],[579,2350,2130],{"className":2351},[653],[579,2353,606],{"className":2354},[653,654],[579,2356],{"className":2357,"style":743},[699],[579,2359,627],{"className":2360},[747],[579,2362],{"className":2363,"style":743},[699],[579,2365,2367,2370,2399,2402,2405],{"className":2366},[644],[579,2368],{"className":2369,"style":1498},[648],[579,2371,2373,2376],{"className":2372},[653],[579,2374,606],{"className":2375},[653,654],[579,2377,2379],{"className":2378},[664],[579,2380,2382],{"className":2381},[668],[579,2383,2385],{"className":2384},[672],[579,2386,2388],{"className":2387,"style":1520},[676],[579,2389,2390,2393],{"style":1523},[579,2391],{"className":2392,"style":685},[684],[579,2394,2396],{"className":2395},[689,690,691,692],[579,2397,610],{"className":2398},[653,692],[579,2400],{"className":2401,"style":700},[699],[579,2403,1429],{"className":2404},[704],[579,2406],{"className":2407,"style":700},[699],[579,2409,2411,2414,2417,2420,2423,2426,2429],{"className":2410},[644],[579,2412],{"className":2413,"style":757},[648],[579,2415,2110],{"className":2416},[653],[579,2418],{"className":2419,"style":743},[699],[579,2421],{"className":2422,"style":743},[699],[579,2424,2115],{"className":2425},[747],[579,2427],{"className":2428,"style":743},[699],[579,2430],{"className":2431,"style":743},[699],[579,2433,2435,2438,2467,2470,2473],{"className":2434},[644],[579,2436],{"className":2437,"style":1498},[648],[579,2439,2441,2444],{"className":2440},[653],[579,2442,606],{"className":2443},[653,654],[579,2445,2447],{"className":2446},[664],[579,2448,2450],{"className":2449},[668],[579,2451,2453],{"className":2452},[672],[579,2454,2456],{"className":2455,"style":1520},[676],[579,2457,2458,2461],{"style":1523},[579,2459],{"className":2460,"style":685},[684],[579,2462,2464],{"className":2463},[689,690,691,692],[579,2465,610],{"className":2466},[653,692],[579,2468],{"className":2469,"style":700},[699],[579,2471,1429],{"className":2472},[704],[579,2474],{"className":2475,"style":700},[699],[579,2477,2479,2482,2485,2488,2491,2494],{"className":2478},[644],[579,2480],{"className":2481,"style":1548},[648],[579,2483,2130],{"className":2484},[653],[579,2486,606],{"className":2487},[653,654],[579,2489],{"className":2490,"style":700},[699],[579,2492,614],{"className":2493},[704],[579,2495],{"className":2496,"style":700},[699],[579,2498,2500,2503,2506,2509,2512],{"className":2499},[644],[579,2501],{"className":2502,"style":757},[648],[579,2504,2110],{"className":2505},[653],[579,2507],{"className":2508,"style":743},[699],[579,2510,627],{"className":2511},[747],[579,2513],{"className":2514,"style":743},[699],[579,2516,2518,2521],{"className":2517},[644],[579,2519],{"className":2520,"style":757},[648],[579,2522,630],{"className":2523},[653],[564,2525,2526,2527,2578,2579,1821,2670,2063],{},"Hier ist ",[579,2528,2530,2548],{"className":2529},[582],[579,2531,2533],{"className":2532},[586],[588,2534,2535],{"xmlns":590},[592,2536,2537,2545],{},[595,2538,2539,2541,2543],{},[598,2540,600],{},[612,2542,627],{},[608,2544,1071],{},[632,2546,2547],{"encoding":634},"a = 1",[579,2549,2551,2569],{"className":2550,"ariaHidden":640},[639],[579,2552,2554,2557,2560,2563,2566],{"className":2553},[644],[579,2555],{"className":2556,"style":736},[648],[579,2558,600],{"className":2559},[653,654],[579,2561],{"className":2562,"style":743},[699],[579,2564,627],{"className":2565},[747],[579,2567],{"className":2568,"style":743},[699],[579,2570,2572,2575],{"className":2571},[644],[579,2573],{"className":2574,"style":757},[648],[579,2576,1071],{"className":2577},[653],", die Gleichung steht schon in Normalform. Die Lösungen sind ",[579,2580,2582,2603],{"className":2581},[582],[579,2583,2585],{"className":2584},[586],[588,2586,2587],{"xmlns":590},[592,2588,2589,2601],{},[595,2590,2591,2597,2599],{},[1887,2592,2593,2595],{},[598,2594,606],{},[608,2596,1071],{},[612,2598,627],{},[608,2600,1071],{},[632,2602,1899],{"encoding":634},[579,2604,2606,2661],{"className":2605,"ariaHidden":640},[639],[579,2607,2609,2612,2652,2655,2658],{"className":2608},[644],[579,2610],{"className":2611,"style":1909},[648],[579,2613,2615,2618],{"className":2614},[653],[579,2616,606],{"className":2617},[653,654],[579,2619,2621],{"className":2620},[664],[579,2622,2624,2644],{"className":2623},[668,1609],[579,2625,2627,2641],{"className":2626},[672],[579,2628,2630],{"className":2629,"style":1928},[676],[579,2631,2632,2635],{"style":1931},[579,2633],{"className":2634,"style":685},[684],[579,2636,2638],{"className":2637},[689,690,691,692],[579,2639,1071],{"className":2640},[653,692],[579,2642,1641],{"className":2643},[1640],[579,2645,2647],{"className":2646},[672],[579,2648,2650],{"className":2649,"style":1950},[676],[579,2651],{},[579,2653],{"className":2654,"style":743},[699],[579,2656,627],{"className":2657},[747],[579,2659],{"className":2660,"style":743},[699],[579,2662,2664,2667],{"className":2663},[644],[579,2665],{"className":2666,"style":757},[648],[579,2668,1071],{"className":2669},[653],[579,2671,2673,2695],{"className":2672},[582],[579,2674,2676],{"className":2675},[586],[588,2677,2678],{"xmlns":590},[592,2679,2680,2692],{},[595,2681,2682,2688,2690],{},[1887,2683,2684,2686],{},[598,2685,606],{},[608,2687,610],{},[612,2689,627],{},[608,2691,2110],{},[632,2693,2694],{"encoding":634},"x_2 = 5",[579,2696,2698,2753],{"className":2697,"ariaHidden":640},[639],[579,2699,2701,2704,2744,2747,2750],{"className":2700},[644],[579,2702],{"className":2703,"style":1909},[648],[579,2705,2707,2710],{"className":2706},[653],[579,2708,606],{"className":2709},[653,654],[579,2711,2713],{"className":2712},[664],[579,2714,2716,2736],{"className":2715},[668,1609],[579,2717,2719,2733],{"className":2718},[672],[579,2720,2722],{"className":2721,"style":1928},[676],[579,2723,2724,2727],{"style":1931},[579,2725],{"className":2726,"style":685},[684],[579,2728,2730],{"className":2729},[689,690,691,692],[579,2731,610],{"className":2732},[653,692],[579,2734,1641],{"className":2735},[1640],[579,2737,2739],{"className":2738},[672],[579,2740,2742],{"className":2741,"style":1950},[676],[579,2743],{},[579,2745],{"className":2746,"style":743},[699],[579,2748,627],{"className":2749},[747],[579,2751],{"className":2752,"style":743},[699],[579,2754,2756,2759],{"className":2755},[644],[579,2757],{"className":2758,"style":757},[648],[579,2760,2110],{"className":2761},[653],[564,2763,2764],{},"Durch eine negative Zahl teilen:",[579,2766,2768],{"className":2767},[1405],[579,2769,2771,2848],{"className":2770},[582],[579,2772,2774],{"className":2773},[586],[588,2775,2776],{"xmlns":590,"display":1414},[592,2777,2778,2845],{},[595,2779,2780,2782,2785,2791,2793,2795,2797,2799,2801,2803,2805,2807,2809,2811,2813,2815,2817,2819,2821,2823,2825,2831,2833,2835,2837,2839,2841,2843],{},[612,2781,1429],{},[608,2783,2784],{},"0,5",[602,2786,2787,2789],{},[598,2788,606],{},[608,2790,610],{},[612,2792,614],{},[608,2794,610],{},[598,2796,606],{},[612,2798,614],{},[608,2800,2130],{},[612,2802,627],{},[608,2804,630],{},[1445,2806,1447],{},[1445,2808,1447],{},[612,2810,1454],{"fence":1452,"stretchy":640,"minsize":1453,"maxsize":1453},[1445,2812,1447],{},[612,2814,1459],{},[612,2816,2088],{"stretchy":1452},[612,2818,1429],{},[608,2820,2784],{},[612,2822,2097],{"stretchy":1452},[699,2824],{"width":1464},[602,2826,2827,2829],{},[598,2828,606],{},[608,2830,610],{},[612,2832,1429],{},[608,2834,1475],{},[598,2836,606],{},[612,2838,1429],{},[608,2840,1432],{},[612,2842,627],{},[608,2844,630],{},[632,2846,2847],{"encoding":634},"-0{,}5x^2 + 2x + 6 = 0 \\;\\;\\big|\\; :(-0{,}5) \\qquad x^2 - 4x - 12 = 0",[579,2849,2851,2913,2934,2952,3016,3085,3106,3124],{"className":2850,"ariaHidden":640},[639],[579,2852,2854,2858,2861,2864,2872,2875,2904,2907,2910],{"className":2853},[644],[579,2855],{"className":2856,"style":2857},[648],"height:1.0585em;vertical-align:-0.1944em;",[579,2859,1429],{"className":2860},[653],[579,2862,630],{"className":2863},[653],[579,2865,2867],{"className":2866},[653],[579,2868,2871],{"className":2869},[2870],"mpunct",",",[579,2873,2110],{"className":2874},[653],[579,2876,2878,2881],{"className":2877},[653],[579,2879,606],{"className":2880},[653,654],[579,2882,2884],{"className":2883},[664],[579,2885,2887],{"className":2886},[668],[579,2888,2890],{"className":2889},[672],[579,2891,2893],{"className":2892,"style":1520},[676],[579,2894,2895,2898],{"style":1523},[579,2896],{"className":2897,"style":685},[684],[579,2899,2901],{"className":2900},[689,690,691,692],[579,2902,610],{"className":2903},[653,692],[579,2905],{"className":2906,"style":700},[699],[579,2908,614],{"className":2909},[704],[579,2911],{"className":2912,"style":700},[699],[579,2914,2916,2919,2922,2925,2928,2931],{"className":2915},[644],[579,2917],{"className":2918,"style":1548},[648],[579,2920,610],{"className":2921},[653],[579,2923,606],{"className":2924},[653,654],[579,2926],{"className":2927,"style":700},[699],[579,2929,614],{"className":2930},[704],[579,2932],{"className":2933,"style":700},[699],[579,2935,2937,2940,2943,2946,2949],{"className":2936},[644],[579,2938],{"className":2939,"style":757},[648],[579,2941,2130],{"className":2942},[653],[579,2944],{"className":2945,"style":743},[699],[579,2947,627],{"className":2948},[747],[579,2950],{"className":2951,"style":743},[699],[579,2953,2955,2958,2961,2964,2967,3004,3007,3010,3013],{"className":2954},[644],[579,2956],{"className":2957,"style":1588},[648],[579,2959,630],{"className":2960},[653],[579,2962],{"className":2963,"style":743},[699],[579,2965],{"className":2966,"style":743},[699],[579,2968,2970],{"className":2969},[653],[579,2971,2973],{"className":2972},[1604,1605],[579,2974,2976,2996],{"className":2975},[668,1609],[579,2977,2979,2993],{"className":2978},[672],[579,2980,2982],{"className":2981,"style":1616},[676],[579,2983,2984,2987],{"style":1619},[579,2985],{"className":2986,"style":1623},[684],[579,2988,2989],{"style":1626},[1628,2990,2991],{"xmlns":1630,"width":1631,"height":1453,"viewBox":1632},[1634,2992],{"d":1636},[579,2994,1641],{"className":2995},[1640],[579,2997,2999],{"className":2998},[672],[579,3000,3002],{"className":3001,"style":1648},[676],[579,3003],{},[579,3005],{"className":3006,"style":743},[699],[579,3008],{"className":3009,"style":743},[699],[579,3011,1459],{"className":3012},[747],[579,3014],{"className":3015,"style":743},[699],[579,3017,3019,3023,3026,3029,3032,3038,3041,3044,3047,3076,3079,3082],{"className":3018},[644],[579,3020],{"className":3021,"style":3022},[648],"height:1.1141em;vertical-align:-0.25em;",[579,3024,2088],{"className":3025},[2193],[579,3027,1429],{"className":3028},[653],[579,3030,630],{"className":3031},[653],[579,3033,3035],{"className":3034},[653],[579,3036,2871],{"className":3037},[2870],[579,3039,2110],{"className":3040},[653],[579,3042,2097],{"className":3043},[2218],[579,3045],{"className":3046,"style":1675},[699],[579,3048,3050,3053],{"className":3049},[653],[579,3051,606],{"className":3052},[653,654],[579,3054,3056],{"className":3055},[664],[579,3057,3059],{"className":3058},[668],[579,3060,3062],{"className":3061},[672],[579,3063,3065],{"className":3064,"style":1520},[676],[579,3066,3067,3070],{"style":1523},[579,3068],{"className":3069,"style":685},[684],[579,3071,3073],{"className":3072},[689,690,691,692],[579,3074,610],{"className":3075},[653,692],[579,3077],{"className":3078,"style":700},[699],[579,3080,1429],{"className":3081},[704],[579,3083],{"className":3084,"style":700},[699],[579,3086,3088,3091,3094,3097,3100,3103],{"className":3087},[644],[579,3089],{"className":3090,"style":1548},[648],[579,3092,1475],{"className":3093},[653],[579,3095,606],{"className":3096},[653,654],[579,3098],{"className":3099,"style":700},[699],[579,3101,1429],{"className":3102},[704],[579,3104],{"className":3105,"style":700},[699],[579,3107,3109,3112,3115,3118,3121],{"className":3108},[644],[579,3110],{"className":3111,"style":757},[648],[579,3113,1432],{"className":3114},[653],[579,3116],{"className":3117,"style":743},[699],[579,3119,627],{"className":3120},[747],[579,3122],{"className":3123,"style":743},[699],[579,3125,3127,3130],{"className":3126},[644],[579,3128],{"className":3129,"style":757},[648],[579,3131,630],{"className":3132},[653],[564,3134,3135,3136,1821,3233,2063],{},"Alle Vorzeichen drehen sich um. Die Lösungen sind ",[579,3137,3139,3163],{"className":3138},[582],[579,3140,3142],{"className":3141},[586],[588,3143,3144],{"xmlns":590},[592,3145,3146,3160],{},[595,3147,3148,3154,3156,3158],{},[1887,3149,3150,3152],{},[598,3151,606],{},[608,3153,1071],{},[612,3155,627],{},[612,3157,1429],{},[608,3159,610],{},[632,3161,3162],{"encoding":634},"x_1 = -2",[579,3164,3166,3221],{"className":3165,"ariaHidden":640},[639],[579,3167,3169,3172,3212,3215,3218],{"className":3168},[644],[579,3170],{"className":3171,"style":1909},[648],[579,3173,3175,3178],{"className":3174},[653],[579,3176,606],{"className":3177},[653,654],[579,3179,3181],{"className":3180},[664],[579,3182,3184,3204],{"className":3183},[668,1609],[579,3185,3187,3201],{"className":3186},[672],[579,3188,3190],{"className":3189,"style":1928},[676],[579,3191,3192,3195],{"style":1931},[579,3193],{"className":3194,"style":685},[684],[579,3196,3198],{"className":3197},[689,690,691,692],[579,3199,1071],{"className":3200},[653,692],[579,3202,1641],{"className":3203},[1640],[579,3205,3207],{"className":3206},[672],[579,3208,3210],{"className":3209,"style":1950},[676],[579,3211],{},[579,3213],{"className":3214,"style":743},[699],[579,3216,627],{"className":3217},[747],[579,3219],{"className":3220,"style":743},[699],[579,3222,3224,3227,3230],{"className":3223},[644],[579,3225],{"className":3226,"style":1548},[648],[579,3228,1429],{"className":3229},[653],[579,3231,610],{"className":3232},[653],[579,3234,3236,3258],{"className":3235},[582],[579,3237,3239],{"className":3238},[586],[588,3240,3241],{"xmlns":590},[592,3242,3243,3255],{},[595,3244,3245,3251,3253],{},[1887,3246,3247,3249],{},[598,3248,606],{},[608,3250,610],{},[612,3252,627],{},[608,3254,2130],{},[632,3256,3257],{"encoding":634},"x_2 = 6",[579,3259,3261,3316],{"className":3260,"ariaHidden":640},[639],[579,3262,3264,3267,3307,3310,3313],{"className":3263},[644],[579,3265],{"className":3266,"style":1909},[648],[579,3268,3270,3273],{"className":3269},[653],[579,3271,606],{"className":3272},[653,654],[579,3274,3276],{"className":3275},[664],[579,3277,3279,3299],{"className":3278},[668,1609],[579,3280,3282,3296],{"className":3281},[672],[579,3283,3285],{"className":3284,"style":1928},[676],[579,3286,3287,3290],{"style":1931},[579,3288],{"className":3289,"style":685},[684],[579,3291,3293],{"className":3292},[689,690,691,692],[579,3294,610],{"className":3295},[653,692],[579,3297,1641],{"className":3298},[1640],[579,3300,3302],{"className":3301},[672],[579,3303,3305],{"className":3304,"style":1950},[676],[579,3306],{},[579,3308],{"className":3309,"style":743},[699],[579,3311,627],{"className":3312},[747],[579,3314],{"className":3315,"style":743},[699],[579,3317,3319,3322],{"className":3318},[644],[579,3320],{"className":3321,"style":757},[648],[579,3323,2130],{"className":3324},[653],[559,3326,3328],{"id":3327},"typische-fehler","Typische Fehler",[568,3330,3331,3819,3822],{},[571,3332,3333,3334,3392,3393,3421,3422,3557,3558,3688,3689,2063],{},"Nur den Term mit ",[579,3335,3337,3354],{"className":3336},[582],[579,3338,3340],{"className":3339},[586],[588,3341,3342],{"xmlns":590},[592,3343,3344,3352],{},[595,3345,3346],{},[602,3347,3348,3350],{},[598,3349,606],{},[608,3351,610],{},[632,3353,1017],{"encoding":634},[579,3355,3357],{"className":3356,"ariaHidden":640},[639],[579,3358,3360,3363],{"className":3359},[644],[579,3361],{"className":3362,"style":677},[648],[579,3364,3366,3369],{"className":3365},[653],[579,3367,606],{"className":3368},[653,654],[579,3370,3372],{"className":3371},[664],[579,3373,3375],{"className":3374},[668],[579,3376,3378],{"className":3377},[672],[579,3379,3381],{"className":3380,"style":677},[676],[579,3382,3383,3386],{"style":680},[579,3384],{"className":3385,"style":685},[684],[579,3387,3389],{"className":3388},[689,690,691,692],[579,3390,610],{"className":3391},[653,692]," durch ",[579,3394,3396,3409],{"className":3395},[582],[579,3397,3399],{"className":3398},[586],[588,3400,3401],{"xmlns":590},[592,3402,3403,3407],{},[595,3404,3405],{},[598,3406,600],{},[632,3408,600],{"encoding":634},[579,3410,3412],{"className":3411,"ariaHidden":640},[639],[579,3413,3415,3418],{"className":3414},[644],[579,3416],{"className":3417,"style":736},[648],[579,3419,600],{"className":3420},[653,654]," teilen: Aus ",[579,3423,3425,3459],{"className":3424},[582],[579,3426,3428],{"className":3427},[586],[588,3429,3430],{"xmlns":590},[592,3431,3432,3456],{},[595,3433,3434,3436,3442,3444,3446,3448,3450,3452,3454],{},[608,3435,1386],{},[602,3437,3438,3440],{},[598,3439,606],{},[608,3441,610],{},[612,3443,1429],{},[608,3445,1432],{},[598,3447,606],{},[612,3449,614],{},[608,3451,1439],{},[612,3453,627],{},[608,3455,630],{},[632,3457,3458],{"encoding":634},"3x^2 - 12x + 9 = 0",[579,3460,3462,3509,3530,3548],{"className":3461,"ariaHidden":640},[639],[579,3463,3465,3468,3471,3500,3503,3506],{"className":3464},[644],[579,3466],{"className":3467,"style":649},[648],[579,3469,1386],{"className":3470},[653],[579,3472,3474,3477],{"className":3473},[653],[579,3475,606],{"className":3476},[653,654],[579,3478,3480],{"className":3479},[664],[579,3481,3483],{"className":3482},[668],[579,3484,3486],{"className":3485},[672],[579,3487,3489],{"className":3488,"style":677},[676],[579,3490,3491,3494],{"style":680},[579,3492],{"className":3493,"style":685},[684],[579,3495,3497],{"className":3496},[689,690,691,692],[579,3498,610],{"className":3499},[653,692],[579,3501],{"className":3502,"style":700},[699],[579,3504,1429],{"className":3505},[704],[579,3507],{"className":3508,"style":700},[699],[579,3510,3512,3515,3518,3521,3524,3527],{"className":3511},[644],[579,3513],{"className":3514,"style":1548},[648],[579,3516,1432],{"className":3517},[653],[579,3519,606],{"className":3520},[653,654],[579,3522],{"className":3523,"style":700},[699],[579,3525,614],{"className":3526},[704],[579,3528],{"className":3529,"style":700},[699],[579,3531,3533,3536,3539,3542,3545],{"className":3532},[644],[579,3534],{"className":3535,"style":757},[648],[579,3537,1439],{"className":3538},[653],[579,3540],{"className":3541,"style":743},[699],[579,3543,627],{"className":3544},[747],[579,3546],{"className":3547,"style":743},[699],[579,3549,3551,3554],{"className":3550},[644],[579,3552],{"className":3553,"style":757},[648],[579,3555,630],{"className":3556},[653]," wird ",[579,3559,3561,3593],{"className":3560},[582],[579,3562,3564],{"className":3563},[586],[588,3565,3566],{"xmlns":590},[592,3567,3568,3590],{},[595,3569,3570,3576,3578,3580,3582,3584,3586,3588],{},[602,3571,3572,3574],{},[598,3573,606],{},[608,3575,610],{},[612,3577,1429],{},[608,3579,1475],{},[598,3581,606],{},[612,3583,614],{},[608,3585,1386],{},[612,3587,627],{},[608,3589,630],{},[632,3591,3592],{"encoding":634},"x^2 - 4x + 3 = 0",[579,3594,3596,3640,3661,3679],{"className":3595,"ariaHidden":640},[639],[579,3597,3599,3602,3631,3634,3637],{"className":3598},[644],[579,3600],{"className":3601,"style":649},[648],[579,3603,3605,3608],{"className":3604},[653],[579,3606,606],{"className":3607},[653,654],[579,3609,3611],{"className":3610},[664],[579,3612,3614],{"className":3613},[668],[579,3615,3617],{"className":3616},[672],[579,3618,3620],{"className":3619,"style":677},[676],[579,3621,3622,3625],{"style":680},[579,3623],{"className":3624,"style":685},[684],[579,3626,3628],{"className":3627},[689,690,691,692],[579,3629,610],{"className":3630},[653,692],[579,3632],{"className":3633,"style":700},[699],[579,3635,1429],{"className":3636},[704],[579,3638],{"className":3639,"style":700},[699],[579,3641,3643,3646,3649,3652,3655,3658],{"className":3642},[644],[579,3644],{"className":3645,"style":1548},[648],[579,3647,1475],{"className":3648},[653],[579,3650,606],{"className":3651},[653,654],[579,3653],{"className":3654,"style":700},[699],[579,3656,614],{"className":3657},[704],[579,3659],{"className":3660,"style":700},[699],[579,3662,3664,3667,3670,3673,3676],{"className":3663},[644],[579,3665],{"className":3666,"style":757},[648],[579,3668,1386],{"className":3669},[653],[579,3671],{"className":3672,"style":743},[699],[579,3674,627],{"className":3675},[747],[579,3677],{"className":3678,"style":743},[699],[579,3680,3682,3685],{"className":3681},[644],[579,3683],{"className":3684,"style":757},[648],[579,3686,630],{"className":3687},[653],", nicht ",[579,3690,3692,3724],{"className":3691},[582],[579,3693,3695],{"className":3694},[586],[588,3696,3697],{"xmlns":590},[592,3698,3699,3721],{},[595,3700,3701,3707,3709,3711,3713,3715,3717,3719],{},[602,3702,3703,3705],{},[598,3704,606],{},[608,3706,610],{},[612,3708,1429],{},[608,3710,1432],{},[598,3712,606],{},[612,3714,614],{},[608,3716,1439],{},[612,3718,627],{},[608,3720,630],{},[632,3722,3723],{"encoding":634},"x^2 - 12x + 9 = 0",[579,3725,3727,3771,3792,3810],{"className":3726,"ariaHidden":640},[639],[579,3728,3730,3733,3762,3765,3768],{"className":3729},[644],[579,3731],{"className":3732,"style":649},[648],[579,3734,3736,3739],{"className":3735},[653],[579,3737,606],{"className":3738},[653,654],[579,3740,3742],{"className":3741},[664],[579,3743,3745],{"className":3744},[668],[579,3746,3748],{"className":3747},[672],[579,3749,3751],{"className":3750,"style":677},[676],[579,3752,3753,3756],{"style":680},[579,3754],{"className":3755,"style":685},[684],[579,3757,3759],{"className":3758},[689,690,691,692],[579,3760,610],{"className":3761},[653,692],[579,3763],{"className":3764,"style":700},[699],[579,3766,1429],{"className":3767},[704],[579,3769],{"className":3770,"style":700},[699],[579,3772,3774,3777,3780,3783,3786,3789],{"className":3773},[644],[579,3775],{"className":3776,"style":1548},[648],[579,3778,1432],{"className":3779},[653],[579,3781,606],{"className":3782},[653,654],[579,3784],{"className":3785,"style":700},[699],[579,3787,614],{"className":3788},[704],[579,3790],{"className":3791,"style":700},[699],[579,3793,3795,3798,3801,3804,3807],{"className":3794},[644],[579,3796],{"className":3797,"style":757},[648],[579,3799,1439],{"className":3800},[653],[579,3802],{"className":3803,"style":743},[699],[579,3805,627],{"className":3806},[747],[579,3808],{"className":3809,"style":743},[699],[579,3811,3813,3816],{"className":3812},[644],[579,3814],{"className":3815,"style":757},[648],[579,3817,630],{"className":3818},[653],[571,3820,3821],{},"Beim Teilen durch eine negative Zahl die Vorzeichen nicht umdrehen.",[571,3823,3824,3825,3853,3854,3999],{},"Die p-q-Formel verwenden, bevor rechts eine ",[579,3826,3828,3841],{"className":3827},[582],[579,3829,3831],{"className":3830},[586],[588,3832,3833],{"xmlns":590},[592,3834,3835,3839],{},[595,3836,3837],{},[608,3838,630],{},[632,3840,630],{"encoding":634},[579,3842,3844],{"className":3843,"ariaHidden":640},[639],[579,3845,3847,3850],{"className":3846},[644],[579,3848],{"className":3849,"style":757},[648],[579,3851,630],{"className":3852},[653]," steht. Bei ",[579,3855,3857,3895],{"className":3856},[582],[579,3858,3860],{"className":3859},[586],[588,3861,3862],{"xmlns":590},[592,3863,3864,3892],{},[595,3865,3866,3868,3870,3872,3874,3876,3878,3880,3882,3888,3890],{},[608,3867,610],{},[598,3869,606],{},[612,3871,2088],{"stretchy":1452},[598,3873,606],{},[612,3875,1429],{},[608,3877,1386],{},[612,3879,2097],{"stretchy":1452},[612,3881,627],{},[602,3883,3884,3886],{},[598,3885,606],{},[608,3887,610],{},[612,3889,1429],{},[608,3891,2110],{},[632,3893,3894],{"encoding":634},"2x(x - 3) = x^2 - 5",[579,3896,3898,3925,3946,3990],{"className":3897,"ariaHidden":640},[639],[579,3899,3901,3904,3907,3910,3913,3916,3919,3922],{"className":3900},[644],[579,3902],{"className":3903,"style":2183},[648],[579,3905,610],{"className":3906},[653],[579,3908,606],{"className":3909},[653,654],[579,3911,2088],{"className":3912},[2193],[579,3914,606],{"className":3915},[653,654],[579,3917],{"className":3918,"style":700},[699],[579,3920,1429],{"className":3921},[704],[579,3923],{"className":3924,"style":700},[699],[579,3926,3928,3931,3934,3937,3940,3943],{"className":3927},[644],[579,3929],{"className":3930,"style":2183},[648],[579,3932,1386],{"className":3933},[653],[579,3935,2097],{"className":3936},[2218],[579,3938],{"className":3939,"style":743},[699],[579,3941,627],{"className":3942},[747],[579,3944],{"className":3945,"style":743},[699],[579,3947,3949,3952,3981,3984,3987],{"className":3948},[644],[579,3950],{"className":3951,"style":649},[648],[579,3953,3955,3958],{"className":3954},[653],[579,3956,606],{"className":3957},[653,654],[579,3959,3961],{"className":3960},[664],[579,3962,3964],{"className":3963},[668],[579,3965,3967],{"className":3966},[672],[579,3968,3970],{"className":3969,"style":677},[676],[579,3971,3972,3975],{"style":680},[579,3973],{"className":3974,"style":685},[684],[579,3976,3978],{"className":3977},[689,690,691,692],[579,3979,610],{"className":3980},[653,692],[579,3982],{"className":3983,"style":700},[699],[579,3985,1429],{"className":3986},[704],[579,3988],{"className":3989,"style":700},[699],[579,3991,3993,3996],{"className":3992},[644],[579,3994],{"className":3995,"style":757},[648],[579,3997,2110],{"className":3998},[653]," müssen erst alle Terme auf eine Seite.",{"title":4001,"searchDepth":4002,"depth":4002,"links":4003},"",2,[4004,4005,4006],{"id":561,"depth":4002,"text":562},{"id":1367,"depth":4002,"text":1368},{"id":3327,"depth":4002,"text":3328},[4008,4011,4014,4016,4018,4021,4024,4027,4030,4032],{"lhs":4009,"rhs":4010},"a*x^2 + b*x + c","a*(x^2 + (b\u002Fa)*x + c\u002Fa)",{"lhs":4012,"rhs":4013},"3*x^2 - 12*x + 9","3*(x^2 - 4*x + 3)",{"lhs":4015,"rhs":630},"3*1^2 - 12*1 + 9",{"lhs":4017,"rhs":630},"3*3^2 - 12*3 + 9",{"lhs":4019,"rhs":4020},"2*x*(x - 3) - (x^2 - 5)","x^2 - 6*x + 5",{"lhs":4022,"rhs":4023},"2*1*(1 - 3)","1^2 - 5",{"lhs":4025,"rhs":4026},"2*5*(5 - 3)","5^2 - 5",{"lhs":4028,"rhs":4029},"(-0.5*x^2 + 2*x + 6)\u002F(-0.5)","x^2 - 4*x - 12",{"lhs":4031,"rhs":630},"-0.5*6^2 + 2*6 + 6",{"lhs":4033,"rhs":630},"-0.5*(-2)^2 + 2*(-2) + 6","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>a\u003C\u002Fmi>\u003Cmo mathvariant=\"normal\">≠\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a \\neq 0\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">\u003Cspan class=\"mrel\">\u003Cspan class=\"mord katex-vbox\">\u003Cspan class=\"katex-thinbox\">\u003Cspan class=\"rlap\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-inner\">\u003Cspan class=\"mord\">\u003Cspan 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