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hat die Gleichung keine reelle Lösung, gibt es auch keine solchen reellen Zahlen.",[563,1182,1183],{},"Damit kann man bei ganzzahligen Lösungen diese oft im Kopf erraten, Ergebnisse der p-q-Formel schnell kontrollieren oder aus vorgegebenen Lösungen eine Gleichung aufstellen.",[558,1185,1187],{"id":1186},"herleitung","Herleitung",[563,1189,1190,1191,828,1260,1329],{},"Sind ",[572,1192,1194,1211],{"className":1193},[575],[572,1195,1197],{"className":1196},[579],[581,1198,1199],{"xmlns":583},[585,1200,1201,1209],{},[588,1202,1203],{},[762,1204,1205,1207],{},[594,1206,596],{},[598,1208,768],{},[621,1210,771],{"encoding":623},[572,1212,1214],{"className":1213,"ariaHidden":629},[628],[572,1215,1217,1220],{"className":1216},[633],[572,1218],{"className":1219,"style":781},[637],[572,1221,1223,1226],{"className":1222},[642],[572,1224,596],{"className":1225},[642,646],[572,1227,1229],{"className":1228},[650],[572,1230,1232,1252],{"className":1231},[654,794],[572,1233,1235,1249],{"className":1234},[658],[572,1236,1238],{"className":1237,"style":801},[662],[572,1239,1240,1243],{"style":804},[572,1241],{"className":1242,"style":671},[670],[572,1244,1246],{"className":1245},[675,676,677,678],[572,1247,768],{"className":1248},[642,678],[572,1250,818],{"className":1251},[817],[572,1253,1255],{"className":1254},[658],[572,1256,1258],{"className":1257,"style":825},[662],[572,1259],{},[572,1261,1263,1280],{"className":1262},[575],[572,1264,1266],{"className":1265},[579],[581,1267,1268],{"xmlns":583},[585,1269,1270,1278],{},[588,1271,1272],{},[762,1273,1274,1276],{},[594,1275,596],{},[598,1277,600],{},[621,1279,849],{"encoding":623},[572,1281,1283],{"className":1282,"ariaHidden":629},[628],[572,1284,1286,1289],{"className":1285},[633],[572,1287],{"className":1288,"style":781},[637],[572,1290,1292,1295],{"className":1291},[642],[572,1293,596],{"className":1294},[642,646],[572,1296,1298],{"className":1297},[650],[572,1299,1301,1321],{"className":1300},[654,794],[572,1302,1304,1318],{"className":1303},[658],[572,1305,1307],{"className":1306,"style":801},[662],[572,1308,1309,1312],{"style":804},[572,1310],{"className":1311,"style":671},[670],[572,1313,1315],{"className":1314},[675,676,677,678],[572,1316,600],{"className":1317},[642,678],[572,1319,818],{"className":1320},[817],[572,1322,1324],{"className":1323},[658],[572,1325,1327],{"className":1326,"style":825},[662],[572,1328],{}," die Lösungen, lässt sich der Term in Linearfaktoren zerlegen:",[572,1331,1334],{"className":1332},[1333],"katex-display",[572,1335,1337,1447],{"className":1336},[575],[572,1338,1340],{"className":1339},[579],[581,1341,1343],{"xmlns":583,"display":1342},"block",[585,1344,1345,1444],{},[588,1346,1347,1353,1355,1357,1359,1361,1363,1365,1369,1371,1373,1379,1382,1384,1386,1388,1394,1396,1398,1404,1406,1408,1414,1416,1422,1424,1428,1430,1432,1438],{},[591,1348,1349,1351],{},[594,1350,596],{},[598,1352,600],{},[602,1354,604],{},[594,1356,563],{},[594,1358,596],{},[602,1360,604],{},[594,1362,613],{},[602,1364,616],{},[602,1366,1368],{"stretchy":1367},"false","(",[594,1370,596],{},[602,1372,925],{},[762,1374,1375,1377],{},[594,1376,596],{},[598,1378,768],{},[602,1380,1381],{"stretchy":1367},")",[602,1383,1368],{"stretchy":1367},[594,1385,596],{},[602,1387,925],{},[762,1389,1390,1392],{},[594,1391,596],{},[598,1393,600],{},[602,1395,1381],{"stretchy":1367},[602,1397,616],{},[591,1399,1400,1402],{},[594,1401,596],{},[598,1403,600],{},[602,1405,925],{},[602,1407,1368],{"stretchy":1367},[762,1409,1410,1412],{},[594,1411,596],{},[598,1413,768],{},[602,1415,604],{},[762,1417,1418,1420],{},[594,1419,596],{},[598,1421,600],{},[602,1423,1381],{"stretchy":1367},[1425,1426,1427],"mtext",{}," ",[594,1429,596],{},[602,1431,604],{},[762,1433,1434,1436],{},[594,1435,596],{},[598,1437,768],{},[762,1439,1440,1442],{},[594,1441,596],{},[598,1443,600],{},[621,1445,1446],{"encoding":623},"x^2 + px + q = (x - x_1)(x - x_2) = x^2 - (x_1 + x_2)\\,x + x_1 x_2",[572,1448,1450,1497,1518,1536,1559,1624,1682,1726,1784,1849],{"className":1449,"ariaHidden":629},[628],[572,1451,1453,1457,1488,1491,1494],{"className":1452},[633],[572,1454],{"className":1455,"style":1456},[637],"height:0.9474em;vertical-align:-0.0833em;",[572,1458,1460,1463],{"className":1459},[642],[572,1461,596],{"className":1462},[642,646],[572,1464,1466],{"className":1465},[650],[572,1467,1469],{"className":1468},[654],[572,1470,1472],{"className":1471},[658],[572,1473,1476],{"className":1474,"style":1475},[662],"height:0.8641em;",[572,1477,1479,1482],{"style":1478},"top:-3.113em;margin-right:0.05em;",[572,1480],{"className":1481,"style":671},[670],[572,1483,1485],{"className":1484},[675,676,677,678],[572,1486,600],{"className":1487},[642,678],[572,1489],{"className":1490,"style":686},[685],[572,1492,604],{"className":1493},[690],[572,1495],{"className":1496,"style":686},[685],[572,1498,1500,1503,1506,1509,1512,1515],{"className":1499},[633],[572,1501],{"className":1502,"style":700},[637],[572,1504,563],{"className":1505},[642,646],[572,1507,596],{"className":1508},[642,646],[572,1510],{"className":1511,"style":686},[685],[572,1513,604],{"className":1514},[690],[572,1516],{"className":1517,"style":686},[685],[572,1519,1521,1524,1527,1530,1533],{"className":1520},[633],[572,1522],{"className":1523,"style":722},[637],[572,1525,613],{"className":1526,"style":726},[642,646],[572,1528],{"className":1529,"style":730},[685],[572,1531,616],{"className":1532},[734],[572,1534],{"className":1535,"style":730},[685],[572,1537,1539,1543,1547,1550,1553,1556],{"className":1538},[633],[572,1540],{"className":1541,"style":1542},[637],"height:1em;vertical-align:-0.25em;",[572,1544,1368],{"className":1545},[1546],"mopen",[572,1548,596],{"className":1549},[642,646],[572,1551],{"className":1552,"style":686},[685],[572,1554,925],{"className":1555},[690],[572,1557],{"className":1558,"style":686},[685],[572,1560,1562,1565,1605,1609,1612,1615,1618,1621],{"className":1561},[633],[572,1563],{"className":1564,"style":1542},[637],[572,1566,1568,1571],{"className":1567},[642],[572,1569,596],{"className":1570},[642,646],[572,1572,1574],{"className":1573},[650],[572,1575,1577,1597],{"className":1576},[654,794],[572,1578,1580,1594],{"className":1579},[658],[572,1581,1583],{"className":1582,"style":801},[662],[572,1584,1585,1588],{"style":804},[572,1586],{"className":1587,"style":671},[670],[572,1589,1591],{"className":1590},[675,676,677,678],[572,1592,768],{"className":1593},[642,678],[572,1595,818],{"className":1596},[817],[572,1598,1600],{"className":1599},[658],[572,1601,1603],{"className":1602,"style":825},[662],[572,1604],{},[572,1606,1381],{"className":1607},[1608],"mclose",[572,1610,1368],{"className":1611},[1546],[572,1613,596],{"className":1614},[642,646],[572,1616],{"className":1617,"style":686},[685],[572,1619,925],{"className":1620},[690],[572,1622],{"className":1623,"style":686},[685],[572,1625,1627,1630,1670,1673,1676,1679],{"className":1626},[633],[572,1628],{"className":1629,"style":1542},[637],[572,1631,1633,1636],{"className":1632},[642],[572,1634,596],{"className":1635},[642,646],[572,1637,1639],{"className":1638},[650],[572,1640,1642,1662],{"className":1641},[654,794],[572,1643,1645,1659],{"className":1644},[658],[572,1646,1648],{"className":1647,"style":801},[662],[572,1649,1650,1653],{"style":804},[572,1651],{"className":1652,"style":671},[670],[572,1654,1656],{"className":1655},[675,676,677,678],[572,1657,600],{"className":1658},[642,678],[572,1660,818],{"className":1661},[817],[572,1663,1665],{"className":1664},[658],[572,1666,1668],{"className":1667,"style":825},[662],[572,1669],{},[572,1671,1381],{"className":1672},[1608],[572,1674],{"className":1675,"style":730},[685],[572,1677,616],{"className":1678},[734],[572,1680],{"className":1681,"style":730},[685],[572,1683,1685,1688,1717,1720,1723],{"className":1684},[633],[572,1686],{"className":1687,"style":1456},[637],[572,1689,1691,1694],{"className":1690},[642],[572,1692,596],{"className":1693},[642,646],[572,1695,1697],{"className":1696},[650],[572,1698,1700],{"className":1699},[654],[572,1701,1703],{"className":1702},[658],[572,1704,1706],{"className":1705,"style":1475},[662],[572,1707,1708,1711],{"style":1478},[572,1709],{"className":1710,"style":671},[670],[572,1712,1714],{"className":1713},[675,676,677,678],[572,1715,600],{"className":1716},[642,678],[572,1718],{"className":1719,"style":686},[685],[572,1721,925],{"className":1722},[690],[572,1724],{"className":1725,"style":686},[685],[572,1727,1729,1732,1735,1775,1778,1781],{"className":1728},[633],[572,1730],{"className":1731,"style":1542},[637],[572,1733,1368],{"className":1734},[1546],[572,1736,1738,1741],{"className":1737},[642],[572,1739,596],{"className":1740},[642,646],[572,1742,1744],{"className":1743},[650],[572,1745,1747,1767],{"className":1746},[654,794],[572,1748,1750,1764],{"className":1749},[658],[572,1751,1753],{"className":1752,"style":801},[662],[572,1754,1755,1758],{"style":804},[572,1756],{"className":1757,"style":671},[670],[572,1759,1761],{"className":1760},[675,676,677,678],[572,1762,768],{"className":1763},[642,678],[572,1765,818],{"className":1766},[817],[572,1768,1770],{"className":1769},[658],[572,1771,1773],{"className":1772,"style":825},[662],[572,1774],{},[572,1776],{"className":1777,"style":686},[685],[572,1779,604],{"className":1780},[690],[572,1782],{"className":1783,"style":686},[685],[572,1785,1787,1790,1830,1833,1837,1840,1843,1846],{"className":1786},[633],[572,1788],{"className":1789,"style":1542},[637],[572,1791,1793,1796],{"className":1792},[642],[572,1794,596],{"className":1795},[642,646],[572,1797,1799],{"className":1798},[650],[572,1800,1802,1822],{"className":1801},[654,794],[572,1803,1805,1819],{"className":1804},[658],[572,1806,1808],{"className":1807,"style":801},[662],[572,1809,1810,1813],{"style":804},[572,1811],{"className":1812,"style":671},[670],[572,1814,1816],{"className":1815},[675,676,677,678],[572,1817,600],{"className":1818},[642,678],[572,1820,818],{"className":1821},[817],[572,1823,1825],{"className":1824},[658],[572,1826,1828],{"className":1827,"style":825},[662],[572,1829],{},[572,1831,1381],{"className":1832},[1608],[572,1834],{"className":1835,"style":1836},[685],"margin-right:0.1667em;",[572,1838,596],{"className":1839},[642,646],[572,1841],{"className":1842,"style":686},[685],[572,1844,604],{"className":1845},[690],[572,1847],{"className":1848,"style":686},[685],[572,1850,1852,1855,1895],{"className":1851},[633],[572,1853],{"className":1854,"style":781},[637],[572,1856,1858,1861],{"className":1857},[642],[572,1859,596],{"className":1860},[642,646],[572,1862,1864],{"className":1863},[650],[572,1865,1867,1887],{"className":1866},[654,794],[572,1868,1870,1884],{"className":1869},[658],[572,1871,1873],{"className":1872,"style":801},[662],[572,1874,1875,1878],{"style":804},[572,1876],{"className":1877,"style":671},[670],[572,1879,1881],{"className":1880},[675,676,677,678],[572,1882,768],{"className":1883},[642,678],[572,1885,818],{"className":1886},[817],[572,1888,1890],{"className":1889},[658],[572,1891,1893],{"className":1892,"style":825},[662],[572,1894],{},[572,1896,1898,1901],{"className":1897},[642],[572,1899,596],{"className":1900},[642,646],[572,1902,1904],{"className":1903},[650],[572,1905,1907,1927],{"className":1906},[654,794],[572,1908,1910,1924],{"className":1909},[658],[572,1911,1913],{"className":1912,"style":801},[662],[572,1914,1915,1918],{"style":804},[572,1916],{"className":1917,"style":671},[670],[572,1919,1921],{"className":1920},[675,676,677,678],[572,1922,600],{"className":1923},[642,678],[572,1925,818],{"className":1926},[817],[572,1928,1930],{"className":1929},[658],[572,1931,1933],{"className":1932,"style":825},[662],[572,1934],{},[563,1936,1937,1938,828,2108,946],{},"Koeffizientenvergleich liefert ",[572,1939,1941,1977],{"className":1940},[575],[572,1942,1944],{"className":1943},[579],[581,1945,1946],{"xmlns":583},[585,1947,1948,1974],{},[588,1949,1950,1952,1954,1956,1958,1964,1966,1972],{},[594,1951,563],{},[602,1953,616],{},[602,1955,925],{},[602,1957,1368],{"stretchy":1367},[762,1959,1960,1962],{},[594,1961,596],{},[598,1963,768],{},[602,1965,604],{},[762,1967,1968,1970],{},[594,1969,596],{},[598,1971,600],{},[602,1973,1381],{"stretchy":1367},[621,1975,1976],{"encoding":623},"p = -(x_1 + x_2)",[572,1978,1980,1998,2059],{"className":1979,"ariaHidden":629},[628],[572,1981,1983,1986,1989,1992,1995],{"className":1982},[633],[572,1984],{"className":1985,"style":722},[637],[572,1987,563],{"className":1988},[642,646],[572,1990],{"className":1991,"style":730},[685],[572,1993,616],{"className":1994},[734],[572,1996],{"className":1997,"style":730},[685],[572,1999,2001,2004,2007,2010,2050,2053,2056],{"className":2000},[633],[572,2002],{"className":2003,"style":1542},[637],[572,2005,925],{"className":2006},[642],[572,2008,1368],{"className":2009},[1546],[572,2011,2013,2016],{"className":2012},[642],[572,2014,596],{"className":2015},[642,646],[572,2017,2019],{"className":2018},[650],[572,2020,2022,2042],{"className":2021},[654,794],[572,2023,2025,2039],{"className":2024},[658],[572,2026,2028],{"className":2027,"style":801},[662],[572,2029,2030,2033],{"style":804},[572,2031],{"className":2032,"style":671},[670],[572,2034,2036],{"className":2035},[675,676,677,678],[572,2037,768],{"className":2038},[642,678],[572,2040,818],{"className":2041},[817],[572,2043,2045],{"className":2044},[658],[572,2046,2048],{"className":2047,"style":825},[662],[572,2049],{},[572,2051],{"className":2052,"style":686},[685],[572,2054,604],{"className":2055},[690],[572,2057],{"className":2058,"style":686},[685],[572,2060,2062,2065,2105],{"className":2061},[633],[572,2063],{"className":2064,"style":1542},[637],[572,2066,2068,2071],{"className":2067},[642],[572,2069,596],{"className":2070},[642,646],[572,2072,2074],{"className":2073},[650],[572,2075,2077,2097],{"className":2076},[654,794],[572,2078,2080,2094],{"className":2079},[658],[572,2081,2083],{"className":2082,"style":801},[662],[572,2084,2085,2088],{"style":804},[572,2086],{"className":2087,"style":671},[670],[572,2089,2091],{"className":2090},[675,676,677,678],[572,2092,600],{"className":2093},[642,678],[572,2095,818],{"className":2096},[817],[572,2098,2100],{"className":2099},[658],[572,2101,2103],{"className":2102,"style":825},[662],[572,2104],{},[572,2106,1381],{"className":2107},[1608],[572,2109,2111,2139],{"className":2110},[575],[572,2112,2114],{"className":2113},[579],[581,2115,2116],{"xmlns":583},[585,2117,2118,2136],{},[588,2119,2120,2122,2124,2130],{},[594,2121,613],{},[602,2123,616],{},[762,2125,2126,2128],{},[594,2127,596],{},[598,2129,768],{},[762,2131,2132,2134],{},[594,2133,596],{},[598,2135,600],{},[621,2137,2138],{"encoding":623},"q = x_1 x_2",[572,2140,2142,2160],{"className":2141,"ariaHidden":629},[628],[572,2143,2145,2148,2151,2154,2157],{"className":2144},[633],[572,2146],{"className":2147,"style":722},[637],[572,2149,613],{"className":2150,"style":726},[642,646],[572,2152],{"className":2153,"style":730},[685],[572,2155,616],{"className":2156},[734],[572,2158],{"className":2159,"style":730},[685],[572,2161,2163,2166,2206],{"className":2162},[633],[572,2164],{"className":2165,"style":781},[637],[572,2167,2169,2172],{"className":2168},[642],[572,2170,596],{"className":2171},[642,646],[572,2173,2175],{"className":2174},[650],[572,2176,2178,2198],{"className":2177},[654,794],[572,2179,2181,2195],{"className":2180},[658],[572,2182,2184],{"className":2183,"style":801},[662],[572,2185,2186,2189],{"style":804},[572,2187],{"className":2188,"style":671},[670],[572,2190,2192],{"className":2191},[675,676,677,678],[572,2193,768],{"className":2194},[642,678],[572,2196,818],{"className":2197},[817],[572,2199,2201],{"className":2200},[658],[572,2202,2204],{"className":2203,"style":825},[662],[572,2205],{},[572,2207,2209,2212],{"className":2208},[642],[572,2210,596],{"className":2211},[642,646],[572,2213,2215],{"className":2214},[650],[572,2216,2218,2238],{"className":2217},[654,794],[572,2219,2221,2235],{"className":2220},[658],[572,2222,2224],{"className":2223,"style":801},[662],[572,2225,2226,2229],{"style":804},[572,2227],{"className":2228,"style":671},[670],[572,2230,2232],{"className":2231},[675,676,677,678],[572,2233,600],{"className":2234},[642,678],[572,2236,818],{"className":2237},[817],[572,2239,2241],{"className":2240},[658],[572,2242,2244],{"className":2243,"style":825},[662],[572,2245],{},[558,2247,2249],{"id":2248},"beispiele","Beispiele",[563,2251,2252,2253,2386,2387,828,2415,2444,2445,828,2545,946],{},"Kontrolle für ",[572,2254,2256,2290],{"className":2255},[575],[572,2257,2259],{"className":2258},[579],[581,2260,2261],{"xmlns":583},[585,2262,2263,2287],{},[588,2264,2265,2271,2273,2276,2278,2280,2283,2285],{},[591,2266,2267,2269],{},[594,2268,596],{},[598,2270,600],{},[602,2272,925],{},[598,2274,2275],{},"5",[594,2277,596],{},[602,2279,604],{},[598,2281,2282],{},"6",[602,2284,616],{},[598,2286,619],{},[621,2288,2289],{"encoding":623},"x^2 - 5x + 6 = 0",[572,2291,2293,2337,2359,2377],{"className":2292,"ariaHidden":629},[628],[572,2294,2296,2299,2328,2331,2334],{"className":2295},[633],[572,2297],{"className":2298,"style":638},[637],[572,2300,2302,2305],{"className":2301},[642],[572,2303,596],{"className":2304},[642,646],[572,2306,2308],{"className":2307},[650],[572,2309,2311],{"className":2310},[654],[572,2312,2314],{"className":2313},[658],[572,2315,2317],{"className":2316,"style":663},[662],[572,2318,2319,2322],{"style":666},[572,2320],{"className":2321,"style":671},[670],[572,2323,2325],{"className":2324},[675,676,677,678],[572,2326,600],{"className":2327},[642,678],[572,2329],{"className":2330,"style":686},[685],[572,2332,925],{"className":2333},[690],[572,2335],{"className":2336,"style":686},[685],[572,2338,2340,2344,2347,2350,2353,2356],{"className":2339},[633],[572,2341],{"className":2342,"style":2343},[637],"height:0.7278em;vertical-align:-0.0833em;",[572,2345,2275],{"className":2346},[642],[572,2348,596],{"className":2349},[642,646],[572,2351],{"className":2352,"style":686},[685],[572,2354,604],{"className":2355},[690],[572,2357],{"className":2358,"style":686},[685],[572,2360,2362,2365,2368,2371,2374],{"className":2361},[633],[572,2363],{"className":2364,"style":744},[637],[572,2366,2282],{"className":2367},[642],[572,2369],{"className":2370,"style":730},[685],[572,2372,616],{"className":2373},[734],[572,2375],{"className":2376,"style":730},[685],[572,2378,2380,2383],{"className":2379},[633],[572,2381],{"className":2382,"style":744},[637],[572,2384,619],{"className":2385},[642]," mit den Lösungen ",[572,2388,2390,2403],{"className":2389},[575],[572,2391,2393],{"className":2392},[579],[581,2394,2395],{"xmlns":583},[585,2396,2397,2401],{},[588,2398,2399],{},[598,2400,600],{},[621,2402,600],{"encoding":623},[572,2404,2406],{"className":2405,"ariaHidden":629},[628],[572,2407,2409,2412],{"className":2408},[633],[572,2410],{"className":2411,"style":744},[637],[572,2413,600],{"className":2414},[642],[572,2416,2418,2432],{"className":2417},[575],[572,2419,2421],{"className":2420},[579],[581,2422,2423],{"xmlns":583},[585,2424,2425,2430],{},[588,2426,2427],{},[598,2428,2429],{},"3",[621,2431,2429],{"encoding":623},[572,2433,2435],{"className":2434,"ariaHidden":629},[628],[572,2436,2438,2441],{"className":2437},[633],[572,2439],{"className":2440,"style":744},[637],[572,2442,2429],{"className":2443},[642],": ",[572,2446,2448,2476],{"className":2447},[575],[572,2449,2451],{"className":2450},[579],[581,2452,2453],{"xmlns":583},[585,2454,2455,2473],{},[588,2456,2457,2459,2461,2463,2465,2467,2469,2471],{},[598,2458,600],{},[602,2460,604],{},[598,2462,2429],{},[602,2464,616],{},[598,2466,2275],{},[602,2468,616],{},[602,2470,925],{},[594,2472,563],{},[621,2474,2475],{"encoding":623},"2 + 3 = 5 = -p",[572,2477,2479,2497,2515,2533],{"className":2478,"ariaHidden":629},[628],[572,2480,2482,2485,2488,2491,2494],{"className":2481},[633],[572,2483],{"className":2484,"style":2343},[637],[572,2486,600],{"className":2487},[642],[572,2489],{"className":2490,"style":686},[685],[572,2492,604],{"className":2493},[690],[572,2495],{"className":2496,"style":686},[685],[572,2498,2500,2503,2506,2509,2512],{"className":2499},[633],[572,2501],{"className":2502,"style":744},[637],[572,2504,2429],{"className":2505},[642],[572,2507],{"className":2508,"style":730},[685],[572,2510,616],{"className":2511},[734],[572,2513],{"className":2514,"style":730},[685],[572,2516,2518,2521,2524,2527,2530],{"className":2517},[633],[572,2519],{"className":2520,"style":744},[637],[572,2522,2275],{"className":2523},[642],[572,2525],{"className":2526,"style":730},[685],[572,2528,616],{"className":2529},[734],[572,2531],{"className":2532,"style":730},[685],[572,2534,2536,2539,2542],{"className":2535},[633],[572,2537],{"className":2538,"style":700},[637],[572,2540,925],{"className":2541},[642],[572,2543,563],{"className":2544},[642,646],[572,2546,2548,2575],{"className":2547},[575],[572,2549,2551],{"className":2550},[579],[581,2552,2553],{"xmlns":583},[585,2554,2555,2572],{},[588,2556,2557,2559,2562,2564,2566,2568,2570],{},[598,2558,600],{},[602,2560,2561],{},"⋅",[598,2563,2429],{},[602,2565,616],{},[598,2567,2282],{},[602,2569,616],{},[594,2571,613],{},[621,2573,2574],{"encoding":623},"2 \\cdot 3 = 6 = q",[572,2576,2578,2596,2614,2632],{"className":2577,"ariaHidden":629},[628],[572,2579,2581,2584,2587,2590,2593],{"className":2580},[633],[572,2582],{"className":2583,"style":744},[637],[572,2585,600],{"className":2586},[642],[572,2588],{"className":2589,"style":686},[685],[572,2591,2561],{"className":2592},[690],[572,2594],{"className":2595,"style":686},[685],[572,2597,2599,2602,2605,2608,2611],{"className":2598},[633],[572,2600],{"className":2601,"style":744},[637],[572,2603,2429],{"className":2604},[642],[572,2606],{"className":2607,"style":730},[685],[572,2609,616],{"className":2610},[734],[572,2612],{"className":2613,"style":730},[685],[572,2615,2617,2620,2623,2626,2629],{"className":2616},[633],[572,2618],{"className":2619,"style":744},[637],[572,2621,2282],{"className":2622},[642],[572,2624],{"className":2625,"style":730},[685],[572,2627,616],{"className":2628},[734],[572,2630],{"className":2631,"style":730},[685],[572,2633,2635,2638],{"className":2634},[633],[572,2636],{"className":2637,"style":722},[637],[572,2639,613],{"className":2640,"style":726},[642,646],[563,2642,2643,2644,2771,2772,2806,2807,2841,2842,828,2870,2905,2906,946],{},"Lösungen raten für ",[572,2645,2647,2678],{"className":2646},[575],[572,2648,2650],{"className":2649},[579],[581,2651,2652],{"xmlns":583},[585,2653,2654,2675],{},[588,2655,2656,2662,2664,2666,2668,2671,2673],{},[591,2657,2658,2660],{},[594,2659,596],{},[598,2661,600],{},[602,2663,604],{},[594,2665,596],{},[602,2667,925],{},[598,2669,2670],{},"12",[602,2672,616],{},[598,2674,619],{},[621,2676,2677],{"encoding":623},"x^2 + x - 12 = 0",[572,2679,2681,2725,2744,2762],{"className":2680,"ariaHidden":629},[628],[572,2682,2684,2687,2716,2719,2722],{"className":2683},[633],[572,2685],{"className":2686,"style":638},[637],[572,2688,2690,2693],{"className":2689},[642],[572,2691,596],{"className":2692},[642,646],[572,2694,2696],{"className":2695},[650],[572,2697,2699],{"className":2698},[654],[572,2700,2702],{"className":2701},[658],[572,2703,2705],{"className":2704,"style":663},[662],[572,2706,2707,2710],{"style":666},[572,2708],{"className":2709,"style":671},[670],[572,2711,2713],{"className":2712},[675,676,677,678],[572,2714,600],{"className":2715},[642,678],[572,2717],{"className":2718,"style":686},[685],[572,2720,604],{"className":2721},[690],[572,2723],{"className":2724,"style":686},[685],[572,2726,2728,2732,2735,2738,2741],{"className":2727},[633],[572,2729],{"className":2730,"style":2731},[637],"height:0.6667em;vertical-align:-0.0833em;",[572,2733,596],{"className":2734},[642,646],[572,2736],{"className":2737,"style":686},[685],[572,2739,925],{"className":2740},[690],[572,2742],{"className":2743,"style":686},[685],[572,2745,2747,2750,2753,2756,2759],{"className":2746},[633],[572,2748],{"className":2749,"style":744},[637],[572,2751,2670],{"className":2752},[642],[572,2754],{"className":2755,"style":730},[685],[572,2757,616],{"className":2758},[734],[572,2760],{"className":2761,"style":730},[685],[572,2763,2765,2768],{"className":2764},[633],[572,2766],{"className":2767,"style":744},[637],[572,2769,619],{"className":2770},[642],": Gesucht sind zwei Zahlen mit Produkt ",[572,2773,2775,2791],{"className":2774},[575],[572,2776,2778],{"className":2777},[579],[581,2779,2780],{"xmlns":583},[585,2781,2782,2788],{},[588,2783,2784,2786],{},[602,2785,925],{},[598,2787,2670],{},[621,2789,2790],{"encoding":623},"-12",[572,2792,2794],{"className":2793,"ariaHidden":629},[628],[572,2795,2797,2800,2803],{"className":2796},[633],[572,2798],{"className":2799,"style":2343},[637],[572,2801,925],{"className":2802},[642],[572,2804,2670],{"className":2805},[642]," und Summe ",[572,2808,2810,2826],{"className":2809},[575],[572,2811,2813],{"className":2812},[579],[581,2814,2815],{"xmlns":583},[585,2816,2817,2823],{},[588,2818,2819,2821],{},[602,2820,925],{},[598,2822,768],{},[621,2824,2825],{"encoding":623},"-1",[572,2827,2829],{"className":2828,"ariaHidden":629},[628],[572,2830,2832,2835,2838],{"className":2831},[633],[572,2833],{"className":2834,"style":2343},[637],[572,2836,925],{"className":2837},[642],[572,2839,768],{"className":2840},[642],". Das sind ",[572,2843,2845,2858],{"className":2844},[575],[572,2846,2848],{"className":2847},[579],[581,2849,2850],{"xmlns":583},[585,2851,2852,2856],{},[588,2853,2854],{},[598,2855,2429],{},[621,2857,2429],{"encoding":623},[572,2859,2861],{"className":2860,"ariaHidden":629},[628],[572,2862,2864,2867],{"className":2863},[633],[572,2865],{"className":2866,"style":744},[637],[572,2868,2429],{"className":2869},[642],[572,2871,2873,2890],{"className":2872},[575],[572,2874,2876],{"className":2875},[579],[581,2877,2878],{"xmlns":583},[585,2879,2880,2887],{},[588,2881,2882,2884],{},[602,2883,925],{},[598,2885,2886],{},"4",[621,2888,2889],{"encoding":623},"-4",[572,2891,2893],{"className":2892,"ariaHidden":629},[628],[572,2894,2896,2899,2902],{"className":2895},[633],[572,2897],{"className":2898,"style":2343},[637],[572,2900,925],{"className":2901},[642],[572,2903,2886],{"className":2904},[642],", also ",[572,2907,2909,2957],{"className":2908},[575],[572,2910,2912],{"className":2911},[579],[581,2913,2914],{"xmlns":583},[585,2915,2916,2954],{},[588,2917,2918,2924,2926,2928,2930,2932,2934,2936,2938,2940,2942,2944,2946,2948,2950,2952],{},[591,2919,2920,2922],{},[594,2921,596],{},[598,2923,600],{},[602,2925,604],{},[594,2927,596],{},[602,2929,925],{},[598,2931,2670],{},[602,2933,616],{},[602,2935,1368],{"stretchy":1367},[594,2937,596],{},[602,2939,925],{},[598,2941,2429],{},[602,2943,1381],{"stretchy":1367},[602,2945,1368],{"stretchy":1367},[594,2947,596],{},[602,2949,604],{},[598,2951,2886],{},[602,2953,1381],{"stretchy":1367},[621,2955,2956],{"encoding":623},"x^2 + x - 12 = (x-3)(x+4)",[572,2958,2960,3004,3022,3040,3061,3088],{"className":2959,"ariaHidden":629},[628],[572,2961,2963,2966,2995,2998,3001],{"className":2962},[633],[572,2964],{"className":2965,"style":638},[637],[572,2967,2969,2972],{"className":2968},[642],[572,2970,596],{"className":2971},[642,646],[572,2973,2975],{"className":2974},[650],[572,2976,2978],{"className":2977},[654],[572,2979,2981],{"className":2980},[658],[572,2982,2984],{"className":2983,"style":663},[662],[572,2985,2986,2989],{"style":666},[572,2987],{"className":2988,"style":671},[670],[572,2990,2992],{"className":2991},[675,676,677,678],[572,2993,600],{"className":2994},[642,678],[572,2996],{"className":2997,"style":686},[685],[572,2999,604],{"className":3000},[690],[572,3002],{"className":3003,"style":686},[685],[572,3005,3007,3010,3013,3016,3019],{"className":3006},[633],[572,3008],{"className":3009,"style":2731},[637],[572,3011,596],{"className":3012},[642,646],[572,3014],{"className":3015,"style":686},[685],[572,3017,925],{"className":3018},[690],[572,3020],{"className":3021,"style":686},[685],[572,3023,3025,3028,3031,3034,3037],{"className":3024},[633],[572,3026],{"className":3027,"style":744},[637],[572,3029,2670],{"className":3030},[642],[572,3032],{"className":3033,"style":730},[685],[572,3035,616],{"className":3036},[734],[572,3038],{"className":3039,"style":730},[685],[572,3041,3043,3046,3049,3052,3055,3058],{"className":3042},[633],[572,3044],{"className":3045,"style":1542},[637],[572,3047,1368],{"className":3048},[1546],[572,3050,596],{"className":3051},[642,646],[572,3053],{"className":3054,"style":686},[685],[572,3056,925],{"className":3057},[690],[572,3059],{"className":3060,"style":686},[685],[572,3062,3064,3067,3070,3073,3076,3079,3082,3085],{"className":3063},[633],[572,3065],{"className":3066,"style":1542},[637],[572,3068,2429],{"className":3069},[642],[572,3071,1381],{"className":3072},[1608],[572,3074,1368],{"className":3075},[1546],[572,3077,596],{"className":3078},[642,646],[572,3080],{"className":3081,"style":686},[685],[572,3083,604],{"className":3084},[690],[572,3086],{"className":3087,"style":686},[685],[572,3089,3091,3094,3097],{"className":3090},[633],[572,3092],{"className":3093,"style":1542},[637],[572,3095,2886],{"className":3096},[642],[572,3098,1381],{"className":3099},[1608],[563,3101,3102,3103,828,3131,2444,3166,828,3276,3392],{},"Gleichung aufstellen mit den Lösungen ",[572,3104,3106,3119],{"className":3105},[575],[572,3107,3109],{"className":3108},[579],[581,3110,3111],{"xmlns":583},[585,3112,3113,3117],{},[588,3114,3115],{},[598,3116,600],{},[621,3118,600],{"encoding":623},[572,3120,3122],{"className":3121,"ariaHidden":629},[628],[572,3123,3125,3128],{"className":3124},[633],[572,3126],{"className":3127,"style":744},[637],[572,3129,600],{"className":3130},[642],[572,3132,3134,3151],{"className":3133},[575],[572,3135,3137],{"className":3136},[579],[581,3138,3139],{"xmlns":583},[585,3140,3141,3148],{},[588,3142,3143,3145],{},[602,3144,925],{},[598,3146,3147],{},"7",[621,3149,3150],{"encoding":623},"-7",[572,3152,3154],{"className":3153,"ariaHidden":629},[628],[572,3155,3157,3160,3163],{"className":3156},[633],[572,3158],{"className":3159,"style":2343},[637],[572,3161,925],{"className":3162},[642],[572,3164,3147],{"className":3165},[642],[572,3167,3169,3201],{"className":3168},[575],[572,3170,3172],{"className":3171},[579],[581,3173,3174],{"xmlns":583},[585,3175,3176,3198],{},[588,3177,3178,3180,3182,3184,3186,3188,3190,3192,3194,3196],{},[594,3179,563],{},[602,3181,616],{},[602,3183,925],{},[602,3185,1368],{"stretchy":1367},[598,3187,600],{},[602,3189,925],{},[598,3191,3147],{},[602,3193,1381],{"stretchy":1367},[602,3195,616],{},[598,3197,2275],{},[621,3199,3200],{"encoding":623},"p = -(2 - 7) = 5",[572,3202,3204,3222,3246,3267],{"className":3203,"ariaHidden":629},[628],[572,3205,3207,3210,3213,3216,3219],{"className":3206},[633],[572,3208],{"className":3209,"style":722},[637],[572,3211,563],{"className":3212},[642,646],[572,3214],{"className":3215,"style":730},[685],[572,3217,616],{"className":3218},[734],[572,3220],{"className":3221,"style":730},[685],[572,3223,3225,3228,3231,3234,3237,3240,3243],{"className":3224},[633],[572,3226],{"className":3227,"style":1542},[637],[572,3229,925],{"className":3230},[642],[572,3232,1368],{"className":3233},[1546],[572,3235,600],{"className":3236},[642],[572,3238],{"className":3239,"style":686},[685],[572,3241,925],{"className":3242},[690],[572,3244],{"className":3245,"style":686},[685],[572,3247,3249,3252,3255,3258,3261,3264],{"className":3248},[633],[572,3250],{"className":3251,"style":1542},[637],[572,3253,3147],{"className":3254},[642],[572,3256,1381],{"className":3257},[1608],[572,3259],{"className":3260,"style":730},[685],[572,3262,616],{"className":3263},[734],[572,3265],{"className":3266,"style":730},[685],[572,3268,3270,3273],{"className":3269},[633],[572,3271],{"className":3272,"style":744},[637],[572,3274,2275],{"className":3275},[642],[572,3277,3279,3314],{"className":3278},[575],[572,3280,3282],{"className":3281},[579],[581,3283,3284],{"xmlns":583},[585,3285,3286,3311],{},[588,3287,3288,3290,3292,3294,3296,3298,3300,3302,3304,3306,3308],{},[594,3289,613],{},[602,3291,616],{},[598,3293,600],{},[602,3295,2561],{},[602,3297,1368],{"stretchy":1367},[602,3299,925],{},[598,3301,3147],{},[602,3303,1381],{"stretchy":1367},[602,3305,616],{},[602,3307,925],{},[598,3309,3310],{},"14",[621,3312,3313],{"encoding":623},"q = 2 \\cdot (-7) = -14",[572,3315,3317,3335,3353,3380],{"className":3316,"ariaHidden":629},[628],[572,3318,3320,3323,3326,3329,3332],{"className":3319},[633],[572,3321],{"className":3322,"style":722},[637],[572,3324,613],{"className":3325,"style":726},[642,646],[572,3327],{"className":3328,"style":730},[685],[572,3330,616],{"className":3331},[734],[572,3333],{"className":3334,"style":730},[685],[572,3336,3338,3341,3344,3347,3350],{"className":3337},[633],[572,3339],{"className":3340,"style":744},[637],[572,3342,600],{"className":3343},[642],[572,3345],{"className":3346,"style":686},[685],[572,3348,2561],{"className":3349},[690],[572,3351],{"className":3352,"style":686},[685],[572,3354,3356,3359,3362,3365,3368,3371,3374,3377],{"className":3355},[633],[572,3357],{"className":3358,"style":1542},[637],[572,3360,1368],{"className":3361},[1546],[572,3363,925],{"className":3364},[642],[572,3366,3147],{"className":3367},[642],[572,3369,1381],{"className":3370},[1608],[572,3372],{"className":3373,"style":730},[685],[572,3375,616],{"className":3376},[734],[572,3378],{"className":3379,"style":730},[685],[572,3381,3383,3386,3389],{"className":3382},[633],[572,3384],{"className":3385,"style":2343},[637],[572,3387,925],{"className":3388},[642],[572,3390,3310],{"className":3391},[642],", also",[572,3394,3396],{"className":3395},[1333],[572,3397,3399,3431],{"className":3398},[575],[572,3400,3402],{"className":3401},[579],[581,3403,3404],{"xmlns":583,"display":1342},[585,3405,3406,3428],{},[588,3407,3408,3414,3416,3418,3420,3422,3424,3426],{},[591,3409,3410,3412],{},[594,3411,596],{},[598,3413,600],{},[602,3415,604],{},[598,3417,2275],{},[594,3419,596],{},[602,3421,925],{},[598,3423,3310],{},[602,3425,616],{},[598,3427,619],{},[621,3429,3430],{"encoding":623},"x^2 + 5x - 14 = 0",[572,3432,3434,3478,3499,3517],{"className":3433,"ariaHidden":629},[628],[572,3435,3437,3440,3469,3472,3475],{"className":3436},[633],[572,3438],{"className":3439,"style":1456},[637],[572,3441,3443,3446],{"className":3442},[642],[572,3444,596],{"className":3445},[642,646],[572,3447,3449],{"className":3448},[650],[572,3450,3452],{"className":3451},[654],[572,3453,3455],{"className":3454},[658],[572,3456,3458],{"className":3457,"style":1475},[662],[572,3459,3460,3463],{"style":1478},[572,3461],{"className":3462,"style":671},[670],[572,3464,3466],{"className":3465},[675,676,677,678],[572,3467,600],{"className":3468},[642,678],[572,3470],{"className":3471,"style":686},[685],[572,3473,604],{"className":3474},[690],[572,3476],{"className":3477,"style":686},[685],[572,3479,3481,3484,3487,3490,3493,3496],{"className":3480},[633],[572,3482],{"className":3483,"style":2343},[637],[572,3485,2275],{"className":3486},[642],[572,3488,596],{"className":3489},[642,646],[572,3491],{"className":3492,"style":686},[685],[572,3494,925],{"className":3495},[690],[572,3497],{"className":3498,"style":686},[685],[572,3500,3502,3505,3508,3511,3514],{"className":3501},[633],[572,3503],{"className":3504,"style":744},[637],[572,3506,3310],{"className":3507},[642],[572,3509],{"className":3510,"style":730},[685],[572,3512,616],{"className":3513},[734],[572,3515],{"className":3516,"style":730},[685],[572,3518,3520,3523],{"className":3519},[633],[572,3521],{"className":3522,"style":744},[637],[572,3524,619],{"className":3525},[642],[558,3527,3529],{"id":3528},"typische-fehler","Typische Fehler",[901,3531,3532,3597],{},[904,3533,3534,3535,3568,3569,946],{},"Vorzeichen: Die Summe ist ",[572,3536,3538,3553],{"className":3537},[575],[572,3539,3541],{"className":3540},[579],[581,3542,3543],{"xmlns":583},[585,3544,3545,3551],{},[588,3546,3547,3549],{},[602,3548,925],{},[594,3550,563],{},[621,3552,930],{"encoding":623},[572,3554,3556],{"className":3555,"ariaHidden":629},[628],[572,3557,3559,3562,3565],{"className":3558},[633],[572,3560],{"className":3561,"style":700},[637],[572,3563,925],{"className":3564},[642],[572,3566,563],{"className":3567},[642,646],", nicht ",[572,3570,3572,3585],{"className":3571},[575],[572,3573,3575],{"className":3574},[579],[581,3576,3577],{"xmlns":583},[585,3578,3579,3583],{},[588,3580,3581],{},[594,3582,563],{},[621,3584,563],{"encoding":623},[572,3586,3588],{"className":3587,"ariaHidden":629},[628],[572,3589,3591,3594],{"className":3590},[633],[572,3592],{"className":3593,"style":722},[637],[572,3595,563],{"className":3596},[642,646],[904,3598,3599,3600,3689,3690,3718],{},"Den Satz auf eine Gleichung anwenden, die nicht in Normalform steht. Bei ",[572,3601,3603,3628],{"className":3602},[575],[572,3604,3606],{"className":3605},[579],[581,3607,3608],{"xmlns":583},[585,3609,3610,3625],{},[588,3611,3612,3614,3620,3622],{},[598,3613,600],{},[591,3615,3616,3618],{},[594,3617,596],{},[598,3619,600],{},[602,3621,604],{},[602,3623,3624],{},"…",[621,3626,3627],{"encoding":623},"2x^2 + \\ldots",[572,3629,3631,3678],{"className":3630,"ariaHidden":629},[628],[572,3632,3634,3637,3640,3669,3672,3675],{"className":3633},[633],[572,3635],{"className":3636,"style":638},[637],[572,3638,600],{"className":3639},[642],[572,3641,3643,3646],{"className":3642},[642],[572,3644,596],{"className":3645},[642,646],[572,3647,3649],{"className":3648},[650],[572,3650,3652],{"className":3651},[654],[572,3653,3655],{"className":3654},[658],[572,3656,3658],{"className":3657,"style":663},[662],[572,3659,3660,3663],{"style":666},[572,3661],{"className":3662,"style":671},[670],[572,3664,3666],{"className":3665},[675,676,677,678],[572,3667,600],{"className":3668},[642,678],[572,3670],{"className":3671,"style":686},[685],[572,3673,604],{"className":3674},[690],[572,3676],{"className":3677,"style":686},[685],[572,3679,3681,3685],{"className":3680},[633],[572,3682],{"className":3683,"style":3684},[637],"height:0.123em;",[572,3686,3624],{"className":3687},[3688],"minner"," erst durch ",[572,3691,3693,3706],{"className":3692},[575],[572,3694,3696],{"className":3695},[579],[581,3697,3698],{"xmlns":583},[585,3699,3700,3704],{},[588,3701,3702],{},[598,3703,600],{},[621,3705,600],{"encoding":623},[572,3707,3709],{"className":3708,"ariaHidden":629},[628],[572,3710,3712,3715],{"className":3711},[633],[572,3713],{"className":3714,"style":744},[637],[572,3716,600],{"className":3717},[642]," teilen.",{"title":3720,"searchDepth":3721,"depth":3721,"links":3722},"",2,[3723,3724,3725,3726],{"id":560,"depth":3721,"text":561},{"id":1186,"depth":3721,"text":1187},{"id":2248,"depth":3721,"text":2249},{"id":3528,"depth":3721,"text":3529},[3728,3731,3733,3735,3738],{"lhs":3729,"rhs":3730},"(x - u)*(x - v)","x^2 - (u + v)*x + u*v",{"lhs":3732,"rhs":2275},"2 + 3",{"lhs":3734,"rhs":2282},"2 * 3",{"lhs":3736,"rhs":3737},"x^2 + x - 12","(x - 3)*(x + 4)",{"lhs":3739,"rhs":3740},"(x - 2)*(x + 7)","x^2 + 5*x - 14","x_1, x_2 \\text{ sind die Nullstellen von } x^2 + px + q","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x_1, x_2\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:0.625em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">sind die Nullstellen von\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsup>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>p\u003C\u002Fmi>\u003Cmi>x\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>q\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x^2 + px + q\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:0.8974em;vertical-align:-0.0833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8141em;\">\u003Cspan style=\"top:-3.063em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan 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