116:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.120102:0.967458:0.179272:0.967458:0.179272:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como  vimos  en  la  sección  anterior,  las  ecuaciones  cuadráticas  no  siempre  son :@0.287490:0.150300:0.907674:0.150300:0.907674:0.133911:0.287490:0.133911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factorizables. Una alternativa de solución es la llamada 'fórmula general', que resulta :@0.287490:0.166897:0.907650:0.166897:0.907650:0.150508:0.287490:0.150508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de resolver por el método de completar el trinomio cuadrado perfecto, la expresión :@0.287490:0.183493:0.907671:0.183493:0.907671:0.167104:0.287490:0.167104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.287490:0.200089:0.304223:0.200089:0.304223:0.184696:0.287490:0.184696:0.000000:0.000000
2:@0.304226:0.194043:0.309469:0.194043:0.309469:0.184489:0.304226:0.184489:0.000000
 +   +   = 0. Veamos un ejemplo.:@0.309470:0.200091:0.555825:0.200091:0.555825:0.183702:0.309470:0.183702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.328524:0.200091:0.345090:0.200091:0.345090:0.184698:0.328524:0.184698:0.000000:0.000000
c:@0.364144:0.200091:0.371810:0.200091:0.371810:0.184698:0.364144:0.184698:0.000000
Hallar las medidas de un terreno de forma rectangular, si se sabe que su ancho es :@0.287504:0.223810:0.907629:0.223810:0.907629:0.207421:0.287504:0.207421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12 metros menor que su largo; además, se conoce que el área del terreno es de :@0.287504:0.240406:0.907741:0.240406:0.907741:0.224017:0.287504:0.224017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
70 metros cuadrados. Planteemos la ecuación que modela el problema::@0.287504:0.257002:0.811730:0.257002:0.811730:0.240613:0.287504:0.240613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.545754:0.286163:0.565563:0.286163:0.565563:0.270770:0.545754:0.270770:0.000000:0.000000:0.000000
(  − 12) = 70:@0.553217:0.286163:0.644526:0.286163:0.644526:0.269774:0.553217:0.269774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.534089:0.306328:0.544869:0.306328:0.544869:0.290934:0.534089:0.290934:0.000000:0.000000
2 – 12  – 70 = 0:@0.544869:0.306328:0.656191:0.306328:0.656191:0.289939:0.544869:0.289939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.585410:0.306328:0.592873:0.306328:0.592873:0.290934:0.585410:0.290934:0.000000
La ecuación no es factorizable; por lo tanto, la resolveremos utilizando la fórmula :@0.287495:0.335371:0.907676:0.335371:0.907676:0.318982:0.287495:0.318982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
general.:@0.287495:0.351968:0.345983:0.351968:0.345983:0.335579:0.287495:0.335579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.538234:0.386479:0.548350:0.386479:0.548350:0.370906:0.538234:0.370906:0.000000
−±:@0.553473:0.377517:0.586735:0.377517:0.586735:0.361944:0.553473:0.361944:0.000000:0.000000
−:@0.621379:0.377517:0.631496:0.377517:0.631496:0.361944:0.621379:0.361944:0.000000
x:@0.526366:0.385802:0.533829:0.385802:0.533829:0.370408:0.526366:0.370408:0.000000
b:@0.564161:0.376840:0.573430:0.376840:0.573430:0.361446:0.564161:0.361446:0.000000
b:@0.602012:0.376840:0.611281:0.376840:0.611281:0.361446:0.602012:0.361446:0.000000
ac:@0.644893:0.376840:0.661772:0.376840:0.661772:0.361446:0.644893:0.361446:0.000000:0.000000
a:@0.608331:0.396292:0.617600:0.396292:0.617600:0.380899:0.608331:0.380899:0.000000
4:@0.634979:0.376843:0.643971:0.376843:0.643971:0.360454:0.634979:0.360454:0.000000
2:@0.599170:0.396292:0.608163:0.396292:0.608163:0.379904:0.599170:0.379904:0.000000
2:@0.611839:0.369181:0.617050:0.369181:0.617050:0.359683:0.611839:0.359683:0.000000
Identificamos los coeficientes de la ecuación: :@0.287495:0.423201:0.621014:0.423201:0.621014:0.406812:0.287495:0.406812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.287495:0.446920:0.296765:0.446920:0.296765:0.431527:0.287495:0.431527:0.000000
 = 1,   = –12 y   = –70, los reemplazamos en la fórmula general:@0.296765:0.446920:0.757524:0.446920:0.757524:0.430531:0.296765:0.430531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.332053:0.446920:0.341323:0.446920:0.341323:0.431527:0.332053:0.431527:0.000000
c:@0.403755:0.446920:0.411421:0.446920:0.411421:0.431527:0.403755:0.431527:0.000000
x:@0.288048:0.484547:0.295511:0.484547:0.295511:0.469154:0.288048:0.469154:0.000000
x:@0.288048:0.523023:0.295511:0.523023:0.295511:0.507630:0.288048:0.507630:0.000000
x:@0.288048:0.559757:0.295511:0.559757:0.295511:0.544364:0.288048:0.544364:0.000000
x:@0.409450:0.559757:0.416913:0.559757:0.416913:0.544364:0.409450:0.544364:0.000000
x:@0.488652:0.559757:0.496115:0.559757:0.496115:0.544364:0.488652:0.544364:0.000000
x:@0.613351:0.559757:0.620815:0.559757:0.620815:0.544364:0.613351:0.544364:0.000000
(12):@0.325420:0.475585:0.364652:0.475585:0.364652:0.459196:0.325420:0.459196:0.000000:0.000000:0.000000:0.000000
(12):@0.392220:0.475585:0.431452:0.475585:0.431452:0.459196:0.392220:0.459196:0.000000:0.000000:0.000000:0.000000
4(1)(70):@0.454579:0.475585:0.519260:0.475585:0.519260:0.459196:0.454579:0.459196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2(1):@0.405432:0.495031:0.430052:0.495031:0.430052:0.478642:0.405432:0.478642:0.000000:0.000000:0.000000:0.000000
12 20,6:@0.318693:0.514048:0.382545:0.514048:0.382545:0.497659:0.318693:0.497659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,6:@0.373700:0.550781:0.385899:0.550781:0.385899:0.534392:0.373700:0.534392:0.000000:0.000000
,6:@0.575096:0.550781:0.587295:0.550781:0.587295:0.534392:0.575096:0.534392:0.000000:0.000000
2:@0.346943:0.533493:0.355936:0.533493:0.355936:0.517104:0.346943:0.517104:0.000000
12 20:@0.321089:0.550781:0.371912:0.550781:0.371912:0.534392:0.321089:0.534392:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.350816:0.570240:0.359809:0.570240:0.359809:0.553851:0.350816:0.553851:0.000000
16,3;:@0.437667:0.559759:0.472532:0.559759:0.472532:0.543370:0.437667:0.543370:0.000000:0.000000:0.000000:0.000000:0.000000
12 20:@0.523927:0.550797:0.574750:0.550797:0.574750:0.534408:0.523927:0.534408:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.553678:0.570240:0.562670:0.570240:0.562670:0.553851:0.553678:0.553851:0.000000
4,3:@0.657908:0.559759:0.681348:0.559759:0.681348:0.543370:0.657908:0.543370:0.000000:0.000000:0.000000
2:@0.431437:0.467917:0.436649:0.467917:0.436649:0.458419:0.431437:0.458419:0.000000
1:@0.295517:0.561752:0.300729:0.561752:0.300729:0.552254:0.295517:0.552254:0.000000
1:@0.416923:0.561752:0.422135:0.561752:0.422135:0.552254:0.416923:0.552254:0.000000
2:@0.496812:0.561753:0.502023:0.561753:0.502023:0.552255:0.496812:0.552255:0.000000
2:@0.621518:0.561753:0.626730:0.561753:0.626730:0.552255:0.621518:0.552255:0.000000
=:@0.299931:0.485142:0.310048:0.485142:0.310048:0.467121:0.299931:0.467121:0.000000
−−:@0.315170:0.476180:0.341614:0.476180:0.341614:0.458159:0.315170:0.458159:0.000000:0.000000
±:@0.367265:0.476180:0.377382:0.476180:0.377382:0.458159:0.367265:0.458159:0.000000
−:@0.398316:0.476180:0.408433:0.476180:0.408433:0.458159:0.398316:0.458159:0.000000
−:@0.440976:0.476180:0.451093:0.476180:0.451093:0.458159:0.440976:0.458159:0.000000
−:@0.485737:0.476180:0.495853:0.476180:0.495853:0.458159:0.485737:0.458159:0.000000
=:@0.299949:0.523618:0.310066:0.523618:0.310066:0.505597:0.299949:0.505597:0.000000
±:@0.339218:0.514656:0.349335:0.514656:0.349335:0.496635:0.339218:0.496635:0.000000
=:@0.304040:0.560365:0.314157:0.560365:0.314157:0.542344:0.304040:0.542344:0.000000
+:@0.341264:0.551403:0.351381:0.551403:0.351381:0.533382:0.341264:0.533382:0.000000
=:@0.396178:0.560365:0.406295:0.560365:0.406295:0.542344:0.396178:0.542344:0.000000
=:@0.425441:0.560365:0.435558:0.560365:0.435558:0.542344:0.425441:0.542344:0.000000
=:@0.506910:0.560365:0.517027:0.560365:0.517027:0.542344:0.506910:0.542344:0.000000
−:@0.544134:0.551403:0.554251:0.551403:0.554251:0.533382:0.544134:0.533382:0.000000
=:@0.597482:0.560365:0.607599:0.560365:0.607599:0.542344:0.597482:0.542344:0.000000
= −:@0.631610:0.560365:0.655492:0.560365:0.655492:0.542344:0.631610:0.542344:0.000000:0.000000:0.000000
Descartamos la solución negativa, ya que no satisface el problema.:@0.287529:0.590308:0.775670:0.590308:0.775670:0.573919:0.287529:0.573919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El terreno mide 16,3 m de largo y 4,3 m de ancho.:@0.287529:0.614027:0.650179:0.614027:0.650179:0.597638:0.287529:0.597638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Obtención de la fórmula general para resolver ecuaciones :@0.287529:0.646390:0.748435:0.646390:0.748435:0.629489:0.287529:0.629489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadráticas :@0.748399:0.646694:0.851808:0.646694:0.851808:0.628257:0.748399:0.628257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Podemos utilizar la técnica de completar el T.C.P., para obtener la fórmula general :@0.287494:0.670105:0.907680:0.670105:0.907680:0.653716:0.287494:0.653716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que determine las raíces de la ecuación cuadrática :@0.287494:0.686701:0.660744:0.686701:0.660744:0.670312:0.287494:0.670312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax :@0.660744:0.686701:0.680793:0.686701:0.680793:0.671308:0.660744:0.671308:0.000000:0.000000:0.000000
2 +   +   = 0.:@0.680793:0.686701:0.779659:0.686701:0.779659:0.670312:0.680793:0.670312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.705117:0.686701:0.721684:0.686701:0.721684:0.671308:0.705117:0.671308:0.000000:0.000000
c:@0.740740:0.686701:0.748406:0.686701:0.748406:0.671308:0.740740:0.671308:0.000000
•  Dividimos cada lado de la ecuación para :@0.287494:0.717405:0.610797:0.717405:0.610797:0.701016:0.287494:0.701016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.646841:0.717807:0.656958:0.717807:0.656958:0.702234:0.646841:0.702234:0.000000
= −:@0.687050:0.717807:0.710931:0.717807:0.710931:0.702234:0.687050:0.702234:0.000000:0.000000:0.000000
a: x:@0.613062:0.717129:0.636446:0.717129:0.636446:0.700768:0.613062:0.700768:0.000000:0.000000:0.000000:0.000000
b:@0.661355:0.708171:0.670624:0.708171:0.670624:0.691810:0.661355:0.691810:0.000000
a:@0.661558:0.727616:0.670827:0.727616:0.670827:0.711255:0.661558:0.711255:0.000000
x:@0.675163:0.717129:0.682626:0.717129:0.682626:0.700768:0.675163:0.700768:0.000000
c:@0.715053:0.708171:0.722719:0.708171:0.722719:0.691810:0.715053:0.691810:0.000000
a:@0.714482:0.727616:0.723751:0.727616:0.723751:0.711255:0.714482:0.711255:0.000000
2:@0.637326:0.709458:0.642537:0.709458:0.642537:0.699960:0.637326:0.699960:0.000000
•  Completamos el cuadrado: :@0.287494:0.755266:0.513555:0.755266:0.513555:0.738877:0.287494:0.738877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.517226:0.756806:0.523943:0.756806:0.523943:0.742952:0.517226:0.742952:0.000000
2:@0.525425:0.749910:0.530115:0.749910:0.530115:0.741737:0.525425:0.741737:0.000000
+:@0.533623:0.757416:0.542728:0.757416:0.542728:0.743400:0.533623:0.743400:0.000000
b:@0.546394:0.748815:0.554736:0.748815:0.554736:0.734961:0.546394:0.734961:0.000000
a:@0.546576:0.766216:0.554918:0.766216:0.554918:0.752362:0.546576:0.752362:0.000000
x:@0.558641:0.756806:0.565358:0.756806:0.565358:0.742952:0.558641:0.742952:0.000000
+:@0.568576:0.757416:0.577681:0.757416:0.577681:0.743400:0.568576:0.743400:0.000000
b:@0.593884:0.748815:0.602226:0.748815:0.602226:0.734961:0.593884:0.734961:0.000000
2:@0.589788:0.766216:0.597881:0.766216:0.597881:0.752113:0.589788:0.752113:0.000000
a:@0.598030:0.766216:0.606373:0.766216:0.606373:0.752362:0.598030:0.752362:0.000000
2:@0.616782:0.740363:0.621473:0.740363:0.621473:0.732190:0.616782:0.732190:0.000000
=:@0.625641:0.757416:0.634746:0.757416:0.634746:0.743400:0.625641:0.743400:0.000000
c:@0.650565:0.748815:0.657464:0.748815:0.657464:0.734961:0.650565:0.734961:0.000000
a:@0.650051:0.766216:0.658393:0.766216:0.658393:0.752362:0.650051:0.752362:0.000000
+:@0.661967:0.757416:0.671072:0.757416:0.671072:0.743400:0.661967:0.743400:0.000000
b:@0.687275:0.748815:0.695617:0.748815:0.695617:0.734961:0.687275:0.734961:0.000000
2:@0.683179:0.766216:0.691272:0.766216:0.691272:0.752113:0.683179:0.752113:0.000000
a:@0.691422:0.766216:0.699764:0.766216:0.699764:0.752362:0.691422:0.752362:0.000000
2:@0.710167:0.740363:0.714857:0.740363:0.714857:0.732190:0.710167:0.732190:0.000000
•  Resolvemos: :@0.287494:0.799079:0.406304:0.799079:0.406304:0.782690:0.287494:0.782690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.421568:0.798619:0.428285:0.798619:0.428285:0.784765:0.421568:0.784765:0.000000
+:@0.431503:0.799229:0.440608:0.799229:0.440608:0.785213:0.431503:0.785213:0.000000
b:@0.448237:0.790628:0.456579:0.790628:0.456579:0.776774:0.448237:0.776774:0.000000
2:@0.444140:0.808029:0.452234:0.808029:0.452234:0.793926:0.444140:0.793926:0.000000
a:@0.452383:0.808029:0.460725:0.808029:0.460725:0.794175:0.452383:0.794175:0.000000
2:@0.471134:0.782175:0.475824:0.782175:0.475824:0.774002:0.471134:0.774002:0.000000
=:@0.479992:0.799229:0.489097:0.799229:0.489097:0.785213:0.479992:0.785213:0.000000
4:@0.502561:0.790626:0.510654:0.790626:0.510654:0.776523:0.502561:0.776523:0.000000
ac b:@0.511467:0.790626:0.548982:0.790626:0.548982:0.776772:0.511467:0.776772:0.000000:0.000000:0.000000:0.000000
+:@0.529329:0.791236:0.538434:0.791236:0.538434:0.777220:0.529329:0.777220:0.000000
2:@0.549488:0.783732:0.554178:0.783732:0.554178:0.775558:0.549488:0.775558:0.000000
4:@0.512832:0.808025:0.520925:0.808025:0.520925:0.793922:0.512832:0.793922:0.000000
a:@0.521738:0.808025:0.530080:0.808025:0.530080:0.794171:0.521738:0.794171:0.000000
2:@0.530594:0.801129:0.535285:0.801129:0.535285:0.792956:0.530594:0.792956:0.000000
+:@0.321960:0.842835:0.331065:0.842835:0.331065:0.826616:0.321960:0.826616:0.000000
=:@0.355793:0.842835:0.364898:0.842835:0.364898:0.826616:0.355793:0.826616:0.000000
−:@0.380754:0.834782:0.389859:0.834782:0.389859:0.818563:0.380754:0.818563:0.000000
+:@0.416759:0.834782:0.425864:0.834782:0.425864:0.818563:0.416759:0.818563:0.000000
=±:@0.448884:0.842835:0.470710:0.842835:0.470710:0.826616:0.448884:0.826616:0.000000:0.000000
,:@0.544482:0.838905:0.547368:0.838905:0.547368:0.824155:0.544482:0.824155:0.000000
−:@0.502273:0.834782:0.511378:0.834782:0.511378:0.818563:0.502273:0.818563:0.000000
x:@0.311736:0.842300:0.318453:0.842300:0.318453:0.828446:0.311736:0.828446:0.000000
b:@0.338969:0.834247:0.347311:0.834247:0.347311:0.820393:0.338969:0.820393:0.000000
a:@0.343115:0.851751:0.351457:0.851751:0.351457:0.837897:0.343115:0.837897:0.000000
ac b:@0.398617:0.834247:0.436696:0.834247:0.436696:0.820393:0.398617:0.820393:0.000000:0.000000:0.000000:0.000000
a:@0.409171:0.851751:0.417514:0.851751:0.417514:0.837897:0.409171:0.837897:0.000000
b:@0.484848:0.834250:0.493190:0.834250:0.493190:0.820396:0.484848:0.820396:0.000000
ac:@0.523441:0.834250:0.538620:0.834247:0.538620:0.820393:0.523441:0.820396:0.000000:0.000000
a:@0.506938:0.851751:0.515281:0.851751:0.515281:0.837897:0.506938:0.837897:0.000000
2:@0.334870:0.851751:0.342964:0.851751:0.342964:0.837001:0.334870:0.837001:0.000000
4:@0.389714:0.834247:0.397807:0.834247:0.397807:0.819497:0.389714:0.819497:0.000000
4:@0.400268:0.851751:0.408361:0.851751:0.408361:0.837001:0.400268:0.837001:0.000000
4:@0.514524:0.834247:0.522617:0.834247:0.522617:0.819497:0.514524:0.819497:0.000000
2:@0.498693:0.851751:0.506786:0.851751:0.506786:0.837001:0.498693:0.837001:0.000000
2:@0.437207:0.827342:0.441897:0.827342:0.441897:0.818794:0.437207:0.818794:0.000000
2:@0.418022:0.844843:0.422712:0.844843:0.422712:0.836295:0.418022:0.836295:0.000000
2:@0.493704:0.827342:0.498395:0.827342:0.498395:0.818794:0.493704:0.818794:0.000000
−:@0.651326:0.834856:0.660431:0.834856:0.660431:0.818637:0.651326:0.818637:0.000000
b:@0.633895:0.834321:0.642237:0.834321:0.642237:0.820467:0.633895:0.820467:0.000000
ac:@0.672488:0.834321:0.687679:0.834321:0.687679:0.820467:0.672488:0.820467:0.000000:0.000000
a:@0.656002:0.851822:0.664344:0.851822:0.664344:0.837968:0.656002:0.837968:0.000000
4:@0.663581:0.834321:0.671675:0.834321:0.671675:0.819571:0.663581:0.819571:0.000000
2:@0.647743:0.851822:0.655836:0.851822:0.655836:0.837072:0.647743:0.837072:0.000000
2:@0.642750:0.827416:0.647441:0.827416:0.647441:0.818868:0.642750:0.818868:0.000000
x:@0.552182:0.842488:0.558898:0.842488:0.558898:0.828635:0.552182:0.828635:0.000000
=:@0.564056:0.843024:0.573161:0.843024:0.573161:0.826805:0.564056:0.826805:0.000000
±:@0.606033:0.843024:0.615138:0.843024:0.615138:0.826805:0.606033:0.826805:0.000000
–b:@0.582432:0.834497:0.599067:0.834497:0.599067:0.820643:0.582432:0.820643:0.000000:0.000000
2:@0.581354:0.851899:0.589448:0.851899:0.589448:0.837149:0.581354:0.837149:0.000000
a:@0.589597:0.851899:0.597939:0.851899:0.597939:0.838045:0.589597:0.838045:0.000000
Las raíces de la ecuación cuadrática son: :@0.296992:0.904121:0.594801:0.904121:0.594801:0.887732:0.296992:0.887732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.594801:0.904121:0.602265:0.904121:0.602265:0.888728:0.594801:0.888728:0.000000
=:@0.606300:0.904121:0.617283:0.904121:0.617283:0.887732:0.606300:0.887732:0.000000
−:@0.685809:0.895665:0.695926:0.895665:0.695926:0.877644:0.685809:0.877644:0.000000
ac:@0.708373:0.895070:0.725252:0.895070:0.725252:0.879677:0.708373:0.879677:0.000000:0.000000
a:@0.670522:0.914598:0.679791:0.914598:0.679791:0.899205:0.670522:0.899205:0.000000
4:@0.698477:0.895070:0.707470:0.895070:0.707470:0.878681:0.698477:0.878681:0.000000
2:@0.661364:0.914598:0.670356:0.914598:0.670356:0.898210:0.661364:0.898210:0.000000
Ecuaciones cuadráticas. Fórmula :@0.286308:0.063945:0.858637:0.063945:0.858637:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
general:@0.286308:0.094120:0.418906:0.094120:0.418906:0.057246:0.286308:0.057246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.159692:0.108604:0.159692:0.011516:0.094760:0.011516:0.000000
©:@0.070380:0.182790:0.070380:0.177683:0.058298:0.177683:0.058298:0.182790:0.000000
Shutterstock:@0.070380:0.177683:0.070380:0.139965:0.058469:0.139965:0.058469:0.177683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La fórmula general sirve :@0.085544:0.349342:0.248426:0.349342:0.248426:0.334443:0.085544:0.334443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para resolver todas las :@0.097874:0.364430:0.248426:0.364430:0.248426:0.349531:0.097874:0.349531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones cuadráticas :@0.090118:0.379518:0.248428:0.379518:0.248428:0.364619:0.090118:0.364619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y las soluciones pueden :@0.085645:0.394605:0.248428:0.394605:0.248428:0.379706:0.085645:0.379706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ser números reales :@0.120054:0.409693:0.248426:0.409693:0.248426:0.394794:0.120054:0.394794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o complejos.:@0.159674:0.424780:0.244758:0.424780:0.244758:0.409881:0.159674:0.409881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.127956:0.456331:0.137061:0.456331:0.137061:0.442316:0.127956:0.442316:0.000000
−±:@0.141671:0.448265:0.171607:0.448265:0.171607:0.434250:0.141671:0.434250:0.000000:0.000000
−:@0.202787:0.448265:0.211892:0.448265:0.211892:0.434250:0.202787:0.434250:0.000000
x:@0.117275:0.455721:0.123992:0.455721:0.123992:0.441867:0.117275:0.441867:0.000000
b:@0.151291:0.447655:0.159633:0.447655:0.159633:0.433802:0.151291:0.433802:0.000000
b:@0.185356:0.447655:0.193698:0.447655:0.193698:0.433802:0.185356:0.433802:0.000000
ac:@0.223949:0.447655:0.239141:0.447655:0.239141:0.433802:0.223949:0.433802:0.000000:0.000000
a:@0.191043:0.465164:0.199386:0.465164:0.199386:0.451310:0.191043:0.451310:0.000000
4:@0.215026:0.447660:0.223120:0.447660:0.223120:0.432909:0.215026:0.432909:0.000000
2:@0.182798:0.465164:0.190891:0.465164:0.190891:0.450414:0.182798:0.450414:0.000000
2:@0.194201:0.440764:0.198892:0.440764:0.198892:0.432215:0.194201:0.432215:0.000000
Donde: :@0.195773:0.485863:0.248425:0.485863:0.248425:0.470964:0.195773:0.470964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.113569:0.504508:0.121995:0.504508:0.121995:0.490515:0.113569:0.490515:0.000000
: es coeficiente del :@0.121995:0.504508:0.248424:0.504508:0.248424:0.489609:0.121995:0.489609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
término cuadrático. :@0.114406:0.519596:0.248424:0.519596:0.248424:0.504697:0.114406:0.504697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.098223:0.538242:0.106650:0.538242:0.106650:0.524248:0.098223:0.524248:0.000000
: es el coeficiente del :@0.106650:0.538242:0.248424:0.538242:0.248424:0.523343:0.106650:0.523343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
término lineal.:@0.149670:0.553329:0.244755:0.553329:0.244755:0.538430:0.149670:0.538430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.099681:0.571975:0.106650:0.571975:0.106650:0.557981:0.099681:0.557981:0.000000
: es el coeficiente del :@0.106650:0.571975:0.248424:0.571975:0.248424:0.557076:0.106650:0.557076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
término independiente.:@0.085977:0.587063:0.244753:0.587063:0.244753:0.572164:0.085977:0.572164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La expresión :@0.164948:0.605709:0.248425:0.605709:0.248425:0.590810:0.164948:0.590810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.164462:0.619539:0.174949:0.619539:0.174949:0.605545:0.164462:0.605545:0.000000
 =   – 4:@0.174949:0.619539:0.229361:0.619563:0.229361:0.604664:0.174949:0.604640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.192271:0.619539:0.200698:0.619539:0.200698:0.605545:0.192271:0.605545:0.000000
2:@0.200706:0.614065:0.205472:0.614065:0.205472:0.605379:0.200706:0.605379:0.000000
ac:@0.229361:0.619563:0.244757:0.619563:0.244757:0.605569:0.229361:0.605569:0.000000:0.000000
se denomina :@0.157778:0.634650:0.248425:0.634650:0.248425:0.619751:0.157778:0.619751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
discriminante:@0.145465:0.649738:0.244755:0.649738:0.244755:0.634374:0.145465:0.634374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la ecuación. :@0.145147:0.664826:0.248425:0.664826:0.248425:0.649927:0.145147:0.649927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   = 0, existen :@0.140004:0.680957:0.248424:0.680957:0.248424:0.666058:0.140004:0.666058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.154947:0.680957:0.165434:0.680957:0.165434:0.666963:0.154947:0.666963:0.000000
dos soluciones reales :@0.103886:0.693530:0.248424:0.693530:0.248424:0.678631:0.103886:0.678631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iguales.:@0.194985:0.706103:0.244755:0.706103:0.244755:0.691204:0.194985:0.691204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   > 0, existen :@0.140004:0.722234:0.248424:0.722234:0.248424:0.707335:0.140004:0.707335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.154947:0.722234:0.165434:0.722234:0.165434:0.708240:0.154947:0.708240:0.000000
dos soluciones reales :@0.103886:0.734807:0.248424:0.734807:0.248424:0.719908:0.103886:0.719908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferentes.:@0.175837:0.747380:0.244755:0.747380:0.244755:0.732481:0.175837:0.732481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   < 0, la ecuación no :@0.095342:0.763511:0.248425:0.763511:0.248425:0.748612:0.095342:0.748612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.110285:0.763511:0.120772:0.763511:0.120772:0.749517:0.110285:0.749517:0.000000
tiene soluciones reales.:@0.101155:0.776084:0.244757:0.776084:0.244757:0.761185:0.101155:0.761185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué tipo de solución tiene :@0.074954:0.794730:0.247772:0.794730:0.247772:0.780736:0.074954:0.780736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una ecuación que es un :@0.094756:0.809818:0.247772:0.809818:0.247772:0.795824:0.094756:0.795824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trinomio cuadrado :@0.124441:0.824905:0.247770:0.824905:0.247770:0.810911:0.124441:0.810911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perfecto?:@0.186609:0.839993:0.244757:0.839993:0.244757:0.825999:0.186609:0.825999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.115799:0.316900:0.223340:0.316900:0.223340:0.300000:0.115799:0.300000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.59. :@0.290067:0.954959:0.338404:0.954959:0.338404:0.944205:0.290067:0.944205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolver la ecuación de segundo grado con una incógnita de manera analítica, (fórmula binomial) en la solución de :@0.339706:0.954959:0.903677:0.954959:0.903677:0.944530:0.339706:0.944530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problemas.:@0.290067:0.965521:0.341968:0.965521:0.341968:0.955091:0.290067:0.955091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000