83:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
3. :@0.514437:0.397345:0.533178:0.397345:0.533178:0.380209:0.514437:0.380209:0.000000:0.000000:0.000000
Calcula:@0.547680:0.397345:0.603111:0.397345:0.603111:0.380721:0.547680:0.380721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las soluciones   y   de la ecuación :@0.603111:0.397345:0.888674:0.397345:0.888674:0.380956:0.603111:0.380956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.719923:0.397345:0.727387:0.397345:0.727387:0.380984:0.719923:0.380984:0.000000
1:@0.727390:0.400509:0.732633:0.400509:0.732633:0.390954:0.727390:0.390954:0.000000
x:@0.753899:0.397345:0.761362:0.397345:0.761362:0.380984:0.753899:0.380984:0.000000
2:@0.761367:0.400509:0.766610:0.400509:0.766610:0.390954:0.761367:0.390954:0.000000
cuadrática.:@0.547670:0.413941:0.627204:0.413941:0.627204:0.397552:0.547670:0.397552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.547670:0.437660:0.566393:0.437660:0.566393:0.420760:0.547670:0.420760:0.000000:0.000000:0.000000
x:@0.580914:0.437660:0.588377:0.437660:0.588377:0.421299:0.580914:0.421299:0.000000
2:@0.588382:0.431618:0.593625:0.431618:0.593625:0.422063:0.588382:0.422063:0.000000
 – 30  – 20 = 0:@0.593625:0.437665:0.699676:0.437665:0.699676:0.421276:0.593625:0.421276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.628896:0.437665:0.636359:0.437665:0.636359:0.421304:0.628896:0.421304:0.000000
 :@0.547685:0.508781:0.551500:0.508781:0.551500:0.491880:0.547685:0.491880:0.000000
b) :@0.547679:0.539038:0.567709:0.539038:0.567709:0.522137:0.547679:0.522137:0.000000:0.000000:0.000000
3  – 8  – 2 = 0:@0.580922:0.539038:0.690684:0.539038:0.690684:0.522649:0.580922:0.522649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.589915:0.539038:0.597378:0.539038:0.597378:0.522676:0.589915:0.522676:0.000000
2:@0.597375:0.532990:0.602617:0.532990:0.602617:0.523436:0.597375:0.523436:0.000000
x:@0.628896:0.539038:0.636359:0.539038:0.636359:0.522676:0.628896:0.522676:0.000000
 :@0.547685:0.631535:0.551500:0.631535:0.551500:0.614634:0.547685:0.614634:0.000000
c) :@0.547679:0.661795:0.565314:0.661795:0.565314:0.644895:0.547679:0.644895:0.000000:0.000000:0.000000
5  – 2  – 3 = 0:@0.580922:0.661795:0.690684:0.661795:0.690684:0.645407:0.580922:0.645407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.589915:0.661795:0.597378:0.661795:0.597378:0.645434:0.589915:0.645434:0.000000
2:@0.597375:0.655748:0.602617:0.655748:0.602617:0.646193:0.597375:0.646193:0.000000
x:@0.628896:0.661795:0.636359:0.661795:0.636359:0.645434:0.628896:0.645434:0.000000
 :@0.547685:0.732911:0.551500:0.732911:0.551500:0.716010:0.547685:0.716010:0.000000
d) :@0.547679:0.763168:0.567746:0.763168:0.567746:0.746267:0.547679:0.746267:0.000000:0.000000:0.000000
–7  – 6  – 11 = 0:@0.580922:0.763168:0.708890:0.763168:0.708890:0.746779:0.580922:0.746779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.599129:0.763168:0.606592:0.763168:0.606592:0.746807:0.599129:0.746807:0.000000
2:@0.606588:0.757121:0.611831:0.757121:0.611831:0.747566:0.606588:0.747566:0.000000
x:@0.638110:0.763168:0.645573:0.763168:0.645573:0.746807:0.638110:0.746807:0.000000
 :@0.547685:0.812888:0.551500:0.812888:0.551500:0.795987:0.547685:0.795987:0.000000
e) :@0.547679:0.843157:0.566548:0.843157:0.566548:0.826257:0.547679:0.826257:0.000000:0.000000:0.000000
–7  – 5  + 12 = 0:@0.580922:0.843157:0.710659:0.843157:0.710659:0.826768:0.580922:0.826768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.599129:0.843157:0.606592:0.843157:0.606592:0.826796:0.599129:0.826796:0.000000
2:@0.606588:0.837110:0.611831:0.837110:0.611831:0.827555:0.606588:0.827555:0.000000
x:@0.638110:0.843157:0.645573:0.843157:0.645573:0.826796:0.638110:0.826796:0.000000
 :@0.547685:0.914273:0.551500:0.914273:0.551500:0.897372:0.547685:0.897372:0.000000
d) :@0.547679:0.172018:0.567746:0.172018:0.567746:0.155117:0.547679:0.155117:0.000000:0.000000:0.000000
6  – 7  + 2 = 0:@0.580922:0.172018:0.692453:0.172018:0.692453:0.155629:0.580922:0.155629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.589915:0.172018:0.597378:0.172018:0.597378:0.155656:0.589915:0.155656:0.000000
2:@0.597375:0.165970:0.602617:0.165970:0.602617:0.156416:0.597375:0.156416:0.000000
x:@0.628896:0.172018:0.636359:0.172018:0.636359:0.155656:0.628896:0.155656:0.000000
 :@0.547685:0.243133:0.551500:0.243133:0.551500:0.226232:0.547685:0.226232:0.000000
e) :@0.547679:0.285053:0.566548:0.285053:0.566548:0.268152:0.547679:0.268152:0.000000:0.000000:0.000000
x:@0.586469:0.277437:0.593932:0.277437:0.593932:0.261076:0.586469:0.261076:0.000000
x:@0.627452:0.277437:0.634915:0.277437:0.634915:0.261076:0.627452:0.261076:0.000000
+=:@0.639503:0.286634:0.673281:0.286634:0.673281:0.271062:0.639503:0.271062:0.000000:0.000000
–8:@0.605118:0.277437:0.625830:0.277437:0.625830:0.261048:0.605118:0.261048:0.000000:0.000000
6:@0.606205:0.296886:0.615197:0.296886:0.615197:0.280498:0.606205:0.280498:0.000000
20:@0.651647:0.285961:0.684835:0.285961:0.684835:0.269572:0.651647:0.269572:0.000000:0.000000
2:@0.595577:0.269776:0.600789:0.269776:0.600789:0.260278:0.595577:0.260278:0.000000
 :@0.547679:0.368780:0.551493:0.368780:0.551493:0.351880:0.547679:0.351880:0.000000
2. :@0.120578:0.555369:0.139319:0.555369:0.139319:0.538233:0.120578:0.538233:0.000000:0.000000:0.000000
Indica:@0.153821:0.555369:0.200480:0.555369:0.200480:0.538745:0.153821:0.538745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, utilizando las propiedades de las raíces :@0.200480:0.555369:0.497898:0.555369:0.497898:0.538980:0.200480:0.538980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la ecuación cuadrática, si el conjunto dado :@0.153821:0.571965:0.497902:0.571965:0.497902:0.555576:0.153821:0.555576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es solución o no.:@0.153821:0.588561:0.276216:0.588561:0.276216:0.572173:0.153821:0.572173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153821:0.617356:0.172544:0.617356:0.172544:0.600456:0.153821:0.600456:0.000000:0.000000:0.000000
x:@0.187065:0.617356:0.194528:0.617356:0.194528:0.600995:0.187065:0.600995:0.000000
2:@0.194523:0.611311:0.199766:0.611311:0.199766:0.601757:0.194523:0.601757:0.000000
 + 3  + 2 = 0:@0.199766:0.617359:0.291370:0.617359:0.291370:0.600970:0.199766:0.600970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.227813:0.617359:0.235277:0.617359:0.235277:0.600997:0.227813:0.600997:0.000000
 :@0.153826:0.688474:0.157641:0.688474:0.157641:0.671573:0.153826:0.671573:0.000000
b) :@0.153820:0.728789:0.173851:0.728789:0.173851:0.711889:0.153820:0.711889:0.000000:0.000000:0.000000
x:@0.187063:0.728789:0.194526:0.728789:0.194526:0.712428:0.187063:0.712428:0.000000
2:@0.194523:0.722742:0.199766:0.722742:0.199766:0.713187:0.194523:0.713187:0.000000
 –   – 2 = 0:@0.199765:0.728789:0.278838:0.728789:0.278838:0.712401:0.199765:0.712401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.217050:0.728789:0.224513:0.728789:0.224513:0.712428:0.217050:0.712428:0.000000
 :@0.153825:0.799905:0.157639:0.799905:0.157639:0.783004:0.153825:0.783004:0.000000
c) :@0.153820:0.832678:0.171455:0.832678:0.171455:0.815777:0.153820:0.815777:0.000000:0.000000:0.000000
x:@0.187063:0.832678:0.194526:0.832678:0.194526:0.816316:0.187063:0.816316:0.000000
2:@0.194523:0.826630:0.199766:0.826630:0.199766:0.817076:0.194523:0.817076:0.000000
 – 3  + 2 = 0:@0.199765:0.832678:0.289600:0.832678:0.289600:0.816289:0.199765:0.816289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.226043:0.832678:0.233506:0.832678:0.233506:0.816316:0.226043:0.816316:0.000000
 :@0.153825:0.903793:0.157639:0.903793:0.157639:0.886893:0.153825:0.886893:0.000000
S:@0.215710:0.662650:0.223781:0.662650:0.223781:0.646289:0.215710:0.646289:0.000000
 = {1, 2}:@0.223781:0.662650:0.277829:0.662650:0.277829:0.646262:0.223781:0.646262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.216373:0.777732:0.224444:0.777732:0.224444:0.761371:0.216373:0.761371:0.000000
 = {–1, –2}:@0.224444:0.777732:0.296920:0.777732:0.296920:0.761344:0.224444:0.761344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.215083:0.879579:0.223154:0.879579:0.223154:0.863218:0.215083:0.863218:0.000000
 = {1, 2}:@0.223154:0.879579:0.277203:0.879579:0.277203:0.863190:0.223154:0.863190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.610061:0.345231:0.618132:0.345231:0.618132:0.328870:0.610061:0.328870:0.000000
 = {2, 6}:@0.618132:0.345231:0.672181:0.345231:0.672181:0.328842:0.618132:0.328842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.120586:0.172020:0.139327:0.172020:0.139327:0.154884:0.120586:0.154884:0.000000:0.000000:0.000000
Emplea:@0.153830:0.172020:0.211213:0.172020:0.211213:0.155396:0.153830:0.155396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el análisis del discriminante y sin resol-:@0.211213:0.172020:0.493875:0.172020:0.493875:0.155631:0.211213:0.155631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ver las ecuaciones, :@0.153830:0.188617:0.297842:0.188617:0.297842:0.172228:0.153830:0.172228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indica:@0.299998:0.188617:0.346380:0.188617:0.346380:0.171992:0.299998:0.171992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cuántas soluciones :@0.346380:0.188617:0.497911:0.188617:0.497911:0.172228:0.346380:0.172228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales tiene cada ecuación:@0.153830:0.205213:0.347523:0.205213:0.347523:0.188824:0.153830:0.188824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153830:0.240093:0.172552:0.240093:0.172552:0.223192:0.153830:0.223192:0.000000:0.000000:0.000000
x:@0.187073:0.240093:0.194536:0.240093:0.194536:0.223732:0.187073:0.223732:0.000000
2:@0.194523:0.234039:0.199766:0.234039:0.199766:0.224485:0.194523:0.224485:0.000000
 + 6  + 9 = 0:@0.199766:0.240087:0.291370:0.240087:0.291370:0.223698:0.199766:0.223698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.227813:0.240087:0.235277:0.240087:0.235277:0.223725:0.227813:0.223725:0.000000
 :@0.153826:0.260251:0.157641:0.260251:0.157641:0.243351:0.153826:0.243351:0.000000
____________________________________:@0.187070:0.260251:0.486519:0.260251:0.486519:0.243351:0.187070:0.243351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.153826:0.293029:0.173857:0.293029:0.173857:0.276128:0.153826:0.276128:0.000000:0.000000:0.000000
20  + 9  – 18 = 0 :@0.187070:0.293029:0.320613:0.293024:0.320613:0.276635:0.187070:0.276640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.205055:0.293029:0.212518:0.293029:0.212518:0.276668:0.205055:0.276668:0.000000
2:@0.212508:0.286977:0.217751:0.286977:0.217751:0.277422:0.212508:0.277422:0.000000
x:@0.245797:0.293024:0.253260:0.293024:0.253260:0.276663:0.245797:0.276663:0.000000
 :@0.153825:0.313189:0.157639:0.313189:0.157639:0.296288:0.153825:0.296288:0.000000
____________________________________:@0.187068:0.313189:0.486517:0.313189:0.486517:0.296288:0.187068:0.296288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.153825:0.345966:0.171460:0.345966:0.171460:0.329066:0.153825:0.329066:0.000000:0.000000:0.000000
x:@0.187068:0.345966:0.194531:0.345966:0.194531:0.329605:0.187068:0.329605:0.000000
2:@0.194523:0.339914:0.199766:0.339914:0.199766:0.330359:0.194523:0.330359:0.000000
 +   – 2 = 0:@0.199765:0.345961:0.280607:0.345961:0.280607:0.329573:0.199765:0.329573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.218819:0.345961:0.226282:0.345961:0.226282:0.329600:0.218819:0.329600:0.000000
 :@0.153825:0.366126:0.157639:0.366126:0.157639:0.349225:0.153825:0.349225:0.000000
____________________________________:@0.187068:0.366126:0.486517:0.366126:0.486517:0.349225:0.187068:0.349225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.153825:0.398904:0.173894:0.398904:0.173894:0.382003:0.153825:0.382003:0.000000:0.000000:0.000000
x:@0.187068:0.398904:0.194531:0.398904:0.194531:0.382543:0.187068:0.382543:0.000000
2:@0.194523:0.392852:0.199766:0.392852:0.199766:0.383297:0.194523:0.383297:0.000000
 + 3  + 5 = 0 :@0.199765:0.398899:0.295404:0.398899:0.295404:0.382510:0.199765:0.382510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.227812:0.398899:0.235275:0.398899:0.235275:0.382538:0.227812:0.382538:0.000000
 :@0.153825:0.419063:0.157639:0.419063:0.157639:0.402163:0.153825:0.402163:0.000000
____________________________________:@0.187068:0.419062:0.486517:0.419062:0.486517:0.402162:0.187068:0.402162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e) :@0.153825:0.451840:0.172695:0.451841:0.172695:0.434941:0.153825:0.434939:0.000000:0.000000:0.000000
–2  – 9  + 5 = 0 :@0.187068:0.451841:0.311842:0.451835:0.311842:0.435446:0.187068:0.435452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.205275:0.451841:0.212738:0.451841:0.212738:0.435480:0.205275:0.435480:0.000000
2:@0.212729:0.445788:0.217972:0.445788:0.217972:0.436233:0.212729:0.436233:0.000000
x:@0.244249:0.451835:0.251712:0.451835:0.251712:0.435474:0.244249:0.435474:0.000000
 :@0.153825:0.472000:0.157639:0.472000:0.157639:0.455099:0.153825:0.455099:0.000000
____________________________________:@0.187068:0.472000:0.486517:0.472000:0.486517:0.455099:0.187068:0.455099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f) :@0.153825:0.504777:0.170649:0.504777:0.170649:0.487877:0.153825:0.487877:0.000000:0.000000:0.000000
x:@0.187068:0.504777:0.194531:0.504777:0.194531:0.488416:0.187068:0.488416:0.000000
2:@0.194523:0.498725:0.199766:0.498725:0.199766:0.489170:0.194523:0.489170:0.000000
 + 6  + 9 = 0:@0.199765:0.504772:0.291369:0.504772:0.291369:0.488383:0.199765:0.488383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.227812:0.504772:0.235275:0.504772:0.235275:0.488411:0.227812:0.488411:0.000000
 :@0.153825:0.524937:0.157639:0.524937:0.157639:0.508036:0.153825:0.508036:0.000000
____________________________________:@0.187068:0.524937:0.486517:0.524937:0.486517:0.508036:0.187068:0.508036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.179762:0.130414:0.240657:0.130414:0.240657:0.096466:0.179762:0.096466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.4.3.5. Plantea y resuelve problemas que involucren sistemas de dos ecuaciones lineales con dos incógnitas, ecuaciones de segundo :@0.260784:0.107879:0.881595:0.107879:0.881595:0.097450:0.260784:0.097450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grado y la aplicación de las propiedades de las raíces de la ecuación de segundo grado; juzga la validez de las soluciones obtenidas :@0.260784:0.118440:0.881676:0.118440:0.881676:0.108011:0.260784:0.108011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el contexto del problema.:@0.260784:0.129002:0.395380:0.129002:0.395380:0.118572:0.260784:0.118572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.611254:0.220919:0.619325:0.220919:0.619325:0.205526:0.611254:0.205526:0.000000
=⎨:@0.622771:0.221597:0.644534:0.221873:0.644534:0.206300:0.622771:0.206024:0.000000:0.000000
⎧:@0.635431:0.211971:0.644534:0.211971:0.644534:0.196398:0.635431:0.196398:0.000000
⎩:@0.635431:0.232122:0.644534:0.232122:0.644534:0.216549:0.635431:0.216549:0.000000
⎫:@0.674479:0.211971:0.683582:0.211971:0.683582:0.196398:0.674479:0.196398:0.000000
⎬:@0.674479:0.221873:0.683582:0.221873:0.683582:0.206300:0.674479:0.206300:0.000000
⎭:@0.674479:0.232122:0.683582:0.232122:0.683582:0.216549:0.674479:0.216549:0.000000
1 2:@0.646838:0.212386:0.672839:0.212386:0.672839:0.196716:0.646838:0.196716:0.000000:0.000000:0.000000
2 3:@0.646045:0.231831:0.673042:0.231831:0.673042:0.216161:0.646045:0.216161:0.000000:0.000000:0.000000
,:@0.657821:0.220905:0.661027:0.220905:0.661027:0.205236:0.657821:0.205236:0.000000
Dos soluciones reales iguales.:@0.188365:0.259469:0.396634:0.259469:0.396634:0.243080:0.188365:0.243080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No tiene soluciones reales.:@0.611132:0.790678:0.798578:0.790678:0.798578:0.774289:0.611132:0.774289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos soluciones reales iguales.:@0.188365:0.524762:0.396634:0.524762:0.396634:0.508373:0.188365:0.508373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No:@0.425842:0.662028:0.447144:0.662028:0.447144:0.645639:0.425842:0.645639:0.000000:0.000000
No:@0.422635:0.773030:0.443938:0.773030:0.443938:0.756641:0.422635:0.756641:0.000000:0.000000
Si:@0.822570:0.218559:0.834714:0.218559:0.834714:0.202170:0.822570:0.202170:0.000000:0.000000
Si:@0.427205:0.877905:0.439349:0.877905:0.439349:0.861516:0.427205:0.861516:0.000000:0.000000
Si:@0.822570:0.340183:0.834714:0.340183:0.834714:0.323794:0.822570:0.323794:0.000000:0.000000
No tiene soluciones reales.:@0.188365:0.418006:0.375811:0.418006:0.375811:0.401617:0.188365:0.401617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos soluciones reales diferentes.:@0.188365:0.312965:0.416923:0.312965:0.416923:0.296576:0.188365:0.296576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos soluciones reales diferentes.:@0.188365:0.472069:0.416923:0.472069:0.416923:0.455680:0.188365:0.455680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos soluciones reales diferentes.:@0.188365:0.365769:0.416923:0.365769:0.416923:0.349380:0.188365:0.349380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.613118:0.462580:0.620582:0.462580:0.620582:0.446219:0.613118:0.446219:0.000000
x:@0.613118:0.486313:0.620582:0.486313:0.620582:0.469951:0.613118:0.469951:0.000000
=:@0.628727:0.463258:0.638843:0.463258:0.638843:0.447685:0.628727:0.447685:0.000000
=:@0.630975:0.486990:0.641092:0.486990:0.641092:0.471417:0.630975:0.471417:0.000000
+:@0.661436:0.486990:0.671553:0.486990:0.671553:0.471417:0.661436:0.471417:0.000000
15–7 5:@0.640244:0.462580:0.701958:0.462580:0.701958:0.446191:0.640244:0.446191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
15 75:@0.642492:0.486313:0.703829:0.486311:0.703829:0.469923:0.642492:0.469924:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.620605:0.464584:0.625817:0.464584:0.625817:0.455086:0.620605:0.455086:0.000000
2:@0.621289:0.488317:0.626500:0.488317:0.626500:0.478819:0.621289:0.478819:0.000000
x:@0.613118:0.578958:0.620582:0.578958:0.620582:0.562597:0.613118:0.562597:0.000000
x:@0.613118:0.618679:0.620582:0.618679:0.620582:0.602318:0.613118:0.602318:0.000000
=:@0.628727:0.579636:0.638843:0.579636:0.638843:0.564063:0.628727:0.564063:0.000000
+:@0.654894:0.571116:0.665011:0.571116:0.665011:0.555543:0.654894:0.555543:0.000000
=:@0.630975:0.619370:0.641092:0.619370:0.641092:0.603797:0.630975:0.603797:0.000000
4:@0.643588:0.570432:0.652580:0.570432:0.652580:0.554044:0.643588:0.554044:0.000000
22:@0.679558:0.570432:0.697339:0.570432:0.697339:0.554044:0.679558:0.554044:0.000000:0.000000
3:@0.666510:0.589878:0.675503:0.589878:0.675503:0.573489:0.666510:0.573489:0.000000
4– 22:@0.645834:0.610153:0.699956:0.610153:0.699956:0.593764:0.645834:0.593764:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.668978:0.629605:0.677970:0.629605:0.677970:0.613216:0.668978:0.613216:0.000000
1:@0.620605:0.580962:0.625817:0.580962:0.625817:0.571464:0.620605:0.571464:0.000000
2:@0.621289:0.620686:0.626500:0.620686:0.626500:0.611188:0.621289:0.611188:0.000000
x:@0.613118:0.687833:0.620582:0.687833:0.620582:0.671472:0.613118:0.671472:0.000000
x:@0.613118:0.717104:0.620582:0.717104:0.620582:0.700743:0.613118:0.700743:0.000000
=:@0.628727:0.688517:0.638843:0.688517:0.638843:0.672944:0.628727:0.672944:0.000000
=:@0.630975:0.717782:0.641092:0.717782:0.641092:0.702209:0.630975:0.702209:0.000000
1:@0.640237:0.687833:0.649230:0.687833:0.649230:0.671444:0.640237:0.671444:0.000000
–:@0.644007:0.717104:0.653220:0.717104:0.653220:0.700715:0.644007:0.700715:0.000000
3:@0.656150:0.708585:0.665143:0.708585:0.665143:0.692196:0.656150:0.692196:0.000000
5:@0.656152:0.728028:0.665145:0.728028:0.665145:0.711639:0.656152:0.711639:0.000000
1:@0.620605:0.689837:0.625817:0.689837:0.625817:0.680339:0.620605:0.680339:0.000000
2:@0.621289:0.719109:0.626500:0.719109:0.626500:0.709610:0.621289:0.709610:0.000000
=:@0.629378:0.871220:0.639495:0.871220:0.639495:0.855647:0.629378:0.855647:0.000000
=:@0.631627:0.899434:0.641743:0.899434:0.641743:0.883861:0.631627:0.883861:0.000000
–:@0.642407:0.870543:0.651621:0.870543:0.651621:0.854154:0.642407:0.854154:0.000000
12:@0.653408:0.862016:0.671191:0.862016:0.671191:0.845627:0.653408:0.845627:0.000000:0.000000
7:@0.658015:0.881465:0.667008:0.881465:0.667008:0.865076:0.658015:0.865076:0.000000
1:@0.643144:0.898753:0.652136:0.898753:0.652136:0.882364:0.643144:0.882364:0.000000
1:@0.621265:0.872545:0.626477:0.872545:0.626477:0.863047:0.621265:0.863047:0.000000
2:@0.621949:0.900759:0.627160:0.900759:0.627160:0.891261:0.621949:0.891261:0.000000
x:@0.613779:0.870543:0.621242:0.870543:0.621242:0.854181:0.613779:0.854181:0.000000
x:@0.613779:0.898756:0.621242:0.898756:0.621242:0.882395:0.613779:0.882395:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
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