110:@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 los temas anteriores, la ecuación cuadrática puede ser un trinomio o :@0.287490:0.150300:0.907724:0.150300:0.907724:0.133911:0.287490:0.133911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un binomio; por ende, puede resolverse mediante la técnica de factorización.:@0.287490:0.166897:0.852493:0.166897:0.852493:0.150508:0.287490:0.150508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desde una ventana de un dormitorio, ubicado a 4   de altura, se lanza hacia abajo :@0.287490:0.190616:0.907560:0.190616:0.907560:0.174227:0.287490:0.174227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.663117:0.190616:0.677749:0.190616:0.677749:0.175222:0.663117:0.175222:0.000000
una pelota con una velocidad inicial de 3  / . La altura  , en metros, en función del :@0.287490:0.207212:0.907617:0.207212:0.907617:0.190823:0.287490:0.190823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m s:@0.596098:0.207212:0.623573:0.207212:0.623573:0.191819:0.596098:0.191819:0.000000:0.000000:0.000000
y:@0.698666:0.207212:0.706148:0.207212:0.706148:0.191819:0.698666:0.191819:0.000000
tiempo  , en segundos, está dada por la función   = –   – 3  + 4. ¿Cuánto demora la :@0.287490:0.223808:0.907693:0.223816:0.907693:0.207427:0.287490:0.207419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.345261:0.223808:0.350642:0.223808:0.350642:0.208415:0.345261:0.208415:0.000000
y:@0.642204:0.223808:0.649685:0.223808:0.649685:0.208415:0.642204:0.208415:0.000000
t :@0.682542:0.223808:0.691240:0.223808:0.691240:0.208415:0.682542:0.208415:0.000000:0.000000
2:@0.691362:0.217769:0.696605:0.217769:0.696605:0.208214:0.691362:0.208214:0.000000
t:@0.723250:0.223816:0.728631:0.223816:0.728631:0.208423:0.723250:0.208423:0.000000
pelota en llegar al suelo?:@0.287492:0.240412:0.468507:0.240412:0.468507:0.224023:0.287492:0.224023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.287492:0.271268:0.351270:0.271268:0.351270:0.254630:0.287492:0.254630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación que tenemos que resolver es:   = –  – 3  + 4. Como la pelota golpea el :@0.287492:0.294987:0.907626:0.294989:0.907626:0.278600:0.287492:0.278598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.599839:0.294987:0.607320:0.294987:0.607320:0.279594:0.599839:0.279594:0.000000
t :@0.636031:0.294987:0.644728:0.294987:0.644728:0.279594:0.636031:0.279594:0.000000:0.000000
2:@0.644968:0.288942:0.650211:0.288942:0.650211:0.279387:0.644968:0.279387:0.000000
t:@0.676930:0.294989:0.682311:0.294989:0.682311:0.279596:0.676930:0.279596:0.000000
suelo, entonces   = 0.:@0.287499:0.311586:0.444593:0.311586:0.444593:0.295197:0.287499:0.295197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.405858:0.311586:0.413339:0.311586:0.413339:0.296192:0.405858:0.296192:0.000000
Para encontrar el tiempo que demora la pelota en llegar al suelo, se procede así::@0.287499:0.335305:0.871701:0.335305:0.871701:0.318916:0.287499:0.318916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Igualamos a cero la ecuación cuadrática: 0 = – 2 – 3  + 4:@0.287499:0.359024:0.698175:0.359024:0.698175:0.342635:0.287499:0.342635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t :@0.624502:0.359024:0.633199:0.359024:0.633199:0.343630:0.624502:0.343630:0.000000:0.000000
t:@0.664748:0.359024:0.670128:0.359024:0.670128:0.343630:0.664748:0.343630:0.000000
Multiplicamos por (–1) toda la ecuación:  2 + 3  – 4 = 0:@0.287499:0.382743:0.687063:0.382743:0.687063:0.366354:0.287499:0.366354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t :@0.585343:0.382743:0.594041:0.382743:0.594041:0.367349:0.585343:0.367349:0.000000:0.000000
t:@0.627358:0.382743:0.632739:0.382743:0.632739:0.367349:0.627358:0.367349:0.000000
Factorizamos el primer miembro de la ecuación como un trinomio de la forma: :@0.287499:0.406462:0.907734:0.406462:0.907734:0.390073:0.287499:0.390073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.287499:0.423058:0.298279:0.423058:0.298279:0.407665:0.287499:0.407665:0.000000:0.000000
2 +   + :@0.298279:0.423058:0.358224:0.423058:0.358224:0.406669:0.298279:0.406669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.322603:0.423058:0.339170:0.423058:0.339170:0.407665:0.322603:0.407665:0.000000:0.000000
c  :@0.358224:0.423058:0.372524:0.423058:0.372524:0.407665:0.358224:0.407665:0.000000:0.000000:0.000000
t:@0.287499:0.446777:0.292880:0.446777:0.292880:0.431384:0.287499:0.431384:0.000000
2:@0.292875:0.440756:0.298117:0.440756:0.298117:0.431201:0.292875:0.431201:0.000000
 + 3  – 4 = (  + 4)(  – 1); (  + 4)(  – 1) = 0 :@0.298118:0.446803:0.585442:0.446803:0.585442:0.430414:0.298118:0.430414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.326165:0.446803:0.331546:0.446803:0.331546:0.431410:0.326165:0.431410:0.000000
t:@0.381761:0.446803:0.387142:0.446803:0.387142:0.431410:0.381761:0.431410:0.000000
t:@0.424956:0.446803:0.430336:0.446803:0.430336:0.431410:0.424956:0.431410:0.000000
t:@0.473623:0.446803:0.479004:0.446803:0.479004:0.431410:0.473623:0.431410:0.000000
t:@0.516817:0.446803:0.522198:0.446803:0.522198:0.431410:0.516817:0.431410:0.000000
Igualamos cada factor a cero: + 4 = 0 y   – 1 = 0:@0.287504:0.470522:0.640887:0.470522:0.640887:0.454133:0.287504:0.454133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 t :@0.500929:0.470522:0.512944:0.470522:0.512944:0.455129:0.500929:0.455129:0.000000:0.000000:0.000000
t:@0.581181:0.470522:0.586562:0.470522:0.586562:0.455129:0.581181:0.455129:0.000000
Despejamos el valor de   en cada ecuación:  = –4 y  = 1:@0.287504:0.494241:0.698717:0.494241:0.698717:0.477852:0.287504:0.477852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.462327:0.494241:0.467708:0.494241:0.467708:0.478848:0.462327:0.478848:0.000000
t :@0.607905:0.494241:0.616603:0.494241:0.616603:0.478848:0.607905:0.478848:0.000000:0.000000
 t:@0.661972:0.494241:0.670670:0.494241:0.670670:0.478848:0.661972:0.478848:0.000000:0.000000
Por sustitución, en la ecuación general podemos ver que   = –4 y  = 1 satisfacen la :@0.287504:0.517960:0.907686:0.517960:0.907686:0.501571:0.287504:0.501571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.711745:0.517960:0.717126:0.517960:0.717126:0.502567:0.711745:0.502567:0.000000
 t:@0.770087:0.517960:0.779982:0.517960:0.779982:0.502567:0.770087:0.502567:0.000000:0.000000
ecuación; pero en este problema, la solución es   = 1 s, ya que no existen tiempos :@0.287504:0.534557:0.907686:0.534557:0.907686:0.518168:0.287504:0.518168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.647285:0.534557:0.652666:0.534557:0.652666:0.519163:0.647285:0.519163:0.000000
negativos.:@0.287504:0.551153:0.360477:0.551153:0.360477:0.534764:0.287504:0.534764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El tiempo de caída de la pelota es de 1  . :@0.287504:0.574872:0.587137:0.574872:0.587137:0.558483:0.287504:0.558483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.573519:0.574872:0.579895:0.574872:0.579895:0.559479:0.573519:0.559479:0.000000
Ejemplos de ecuaciones cuadráticas que se resuelven por factorización.:@0.287504:0.598591:0.809918:0.598591:0.809918:0.582202:0.287504:0.582202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si :@0.334645:0.628679:0.351096:0.628679:0.351096:0.613315:0.334645:0.613315:0.000000:0.000000:0.000000
ax:@0.351096:0.628679:0.368049:0.628679:0.368049:0.613315:0.351096:0.613315:0.000000:0.000000
² + :@0.371065:0.628679:0.393563:0.628679:0.393563:0.613315:0.371065:0.613315:0.000000:0.000000:0.000000:0.000000
bx:@0.393563:0.628679:0.410399:0.628679:0.410399:0.613315:0.393563:0.613315:0.000000:0.000000
 +   = 0:@0.410399:0.628679:0.460422:0.628679:0.460422:0.613315:0.410399:0.613315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.427319:0.628679:0.434523:0.628679:0.434523:0.613315:0.427319:0.613315:0.000000
Si :@0.548556:0.628679:0.565007:0.628679:0.565007:0.613315:0.548556:0.613315:0.000000:0.000000:0.000000
ax:@0.565007:0.628679:0.581961:0.628679:0.581961:0.613315:0.565007:0.613315:0.000000:0.000000
² + :@0.584976:0.628679:0.607475:0.628679:0.607475:0.613315:0.584976:0.613315:0.000000:0.000000:0.000000:0.000000
bx:@0.607475:0.628679:0.624311:0.628679:0.624311:0.613315:0.607475:0.613315:0.000000:0.000000
 = 0 :@0.624311:0.628679:0.653678:0.628679:0.653678:0.613315:0.624311:0.613315:0.000000:0.000000:0.000000:0.000000:0.000000
Si :@0.730186:0.628679:0.746637:0.628679:0.746637:0.613315:0.730186:0.613315:0.000000:0.000000:0.000000
ax:@0.746637:0.628679:0.763590:0.628679:0.763590:0.613315:0.746637:0.613315:0.000000:0.000000
² +   = 0;   = 0:@0.766606:0.628679:0.864657:0.628679:0.864657:0.613315:0.766606:0.613315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.789104:0.628679:0.796308:0.628679:0.796308:0.613315:0.789104:0.613315:0.000000
b:@0.829628:0.628679:0.838758:0.628679:0.838758:0.613315:0.829628:0.613315:0.000000
x x:@0.306853:0.659131:0.324862:0.659131:0.324862:0.645137:0.306853:0.645137:0.000000:0.000000:0.000000
(  + 5) = 24:@0.313638:0.659131:0.388470:0.659131:0.388470:0.644232:0.313638:0.644232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.306853:0.677991:0.316653:0.677991:0.316653:0.663997:0.306853:0.663997:0.000000:0.000000
² + 5  – 24 = 0:@0.316653:0.677991:0.411287:0.677991:0.411287:0.663092:0.316653:0.663092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.346941:0.677991:0.353726:0.677991:0.353726:0.663997:0.346941:0.663997:0.000000
(  + 8)(  – 3)= 0:@0.306853:0.696850:0.409394:0.696850:0.409394:0.681951:0.306853:0.681951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.311292:0.696850:0.318077:0.696850:0.318077:0.682857:0.311292:0.682857:0.000000
x:@0.352453:0.696850:0.359238:0.696850:0.359238:0.682857:0.352453:0.682857:0.000000
(  + 8) = 0 y:@0.306853:0.715710:0.384550:0.715710:0.384550:0.700811:0.306853:0.700811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.311292:0.715710:0.318077:0.715710:0.318077:0.701716:0.311292:0.701716:0.000000
(  – 3) = 0:@0.306853:0.734569:0.371902:0.734569:0.371902:0.719670:0.306853:0.719670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.311292:0.734569:0.318077:0.734569:0.318077:0.720576:0.311292:0.720576:0.000000
x:@0.306853:0.753429:0.313638:0.753429:0.313638:0.739435:0.306853:0.739435:0.000000
1:@0.313641:0.756300:0.318407:0.756300:0.318407:0.747614:0.313641:0.747614:0.000000
 = –8 y  = 3:@0.318407:0.753424:0.403382:0.753424:0.403382:0.738525:0.318407:0.738525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.366989:0.753424:0.373774:0.753424:0.373774:0.739430:0.366989:0.739430:0.000000
2:@0.373772:0.756300:0.378538:0.756300:0.378538:0.747614:0.373772:0.747614:0.000000
c :@0.501601:0.659126:0.511586:0.659126:0.511586:0.645132:0.501601:0.645132:0.000000:0.000000
= 0:@0.511586:0.659126:0.533414:0.659126:0.533414:0.644227:0.511586:0.644227:0.000000:0.000000:0.000000
5 ² + 2  = 0:@0.501601:0.677986:0.582147:0.677986:0.582147:0.663087:0.501601:0.663087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.509776:0.677986:0.519576:0.677986:0.519576:0.663992:0.509776:0.663992:0.000000:0.000000
x:@0.549865:0.677986:0.556649:0.677986:0.556649:0.663992:0.549865:0.663992:0.000000
x :@0.501601:0.696845:0.511401:0.696845:0.511401:0.682851:0.501601:0.682851:0.000000:0.000000
(5x + 2) = 0:@0.511401:0.696845:0.586636:0.696845:0.586636:0.681946:0.511401:0.681946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.501601:0.715705:0.508386:0.715705:0.508386:0.701711:0.501601:0.701711:0.000000
1:@0.508394:0.718581:0.513160:0.718581:0.513160:0.709895:0.508394:0.709895:0.000000
 = 0:@0.513160:0.715705:0.538657:0.715705:0.538657:0.700806:0.513160:0.700806:0.000000:0.000000:0.000000:0.000000
5x + 2 = 0;:@0.501618:0.734564:0.570889:0.734564:0.570889:0.719665:0.501618:0.719665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5  = –2:@0.501618:0.753424:0.550451:0.753424:0.550451:0.738525:0.501618:0.738525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.509793:0.753424:0.516578:0.753424:0.516578:0.739430:0.509793:0.739430:0.000000
x:@0.501487:0.774399:0.508272:0.774399:0.512374:0.760406:0.505589:0.760406:0.000000
–:@0.532405:0.774399:0.540782:0.774399:0.540782:0.759500:0.532405:0.759500:0.000000
2:@0.543346:0.766580:0.551522:0.766580:0.551522:0.751681:0.543346:0.751681:0.000000
5:@0.543497:0.784421:0.551672:0.784421:0.551672:0.769522:0.543497:0.769522:0.000000
2:@0.511046:0.776217:0.515772:0.776217:0.515772:0.767603:0.511046:0.767603:0.000000
=:@0.520312:0.775015:0.529509:0.775015:0.529509:0.760858:0.520312:0.760858:0.000000
4 ² = 25:@0.710552:0.659130:0.765986:0.659130:0.765986:0.644231:0.710552:0.644231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.718560:0.659130:0.728360:0.659130:0.728360:0.645136:0.718560:0.645136:0.000000:0.000000
4 ² – 25 = 0:@0.710552:0.677990:0.789205:0.677990:0.789205:0.663090:0.710552:0.663090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.718560:0.677990:0.728360:0.677990:0.728360:0.663996:0.718560:0.663996:0.000000:0.000000
(2 + 5)(2  – 5) = 0:@0.710552:0.696849:0.829779:0.696849:0.829779:0.681950:0.710552:0.681950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.722832:0.696849:0.732632:0.696849:0.732632:0.682855:0.722832:0.682855:0.000000:0.000000
x:@0.770509:0.696849:0.777294:0.696849:0.777294:0.682855:0.770509:0.682855:0.000000
2  + 5 = 0:@0.710552:0.715709:0.775166:0.715709:0.775166:0.700810:0.710552:0.700810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.718560:0.715709:0.725344:0.715709:0.725344:0.701715:0.718560:0.701715:0.000000
2  – 5 = 0:@0.710552:0.734568:0.773558:0.734568:0.773558:0.719669:0.710552:0.719669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.718560:0.734568:0.725344:0.734568:0.725344:0.720574:0.718560:0.720574:0.000000
–:@0.735577:0.758990:0.743953:0.758990:0.743953:0.744091:0.735577:0.744091:0.000000
5:@0.746675:0.751190:0.754850:0.751190:0.754850:0.736291:0.746675:0.736291:0.000000
2:@0.746525:0.769006:0.754700:0.769006:0.754700:0.754107:0.746525:0.754107:0.000000
5:@0.809195:0.751190:0.817370:0.751190:0.817370:0.736291:0.809195:0.736291:0.000000
2:@0.809044:0.769006:0.817220:0.769006:0.817220:0.754107:0.809044:0.754107:0.000000
x = :@0.711055:0.758990:0.735605:0.758990:0.735605:0.744996:0.711055:0.744996:0.000000:0.000000:0.000000:0.000000
1:@0.717839:0.761866:0.722605:0.761866:0.722605:0.753180:0.717839:0.753180:0.000000
x = :@0.784036:0.758990:0.808580:0.758990:0.808580:0.744996:0.784036:0.744996:0.000000:0.000000:0.000000:0.000000
2:@0.790814:0.761866:0.795581:0.761866:0.795581:0.753180:0.790814:0.753180:0.000000
y:@0.766884:0.758990:0.774255:0.758990:0.774255:0.744091:0.766884:0.744091:0.000000
Las soluciones :@0.306863:0.811947:0.406406:0.811947:0.406406:0.797048:0.306863:0.797048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la ecuación :@0.306863:0.830807:0.407226:0.830807:0.407226:0.815908:0.306863:0.815908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son:   = – 8 y   = 3:@0.306863:0.849666:0.438428:0.849669:0.438428:0.834770:0.306863:0.834767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.337587:0.849666:0.344371:0.849666:0.344371:0.835673:0.337587:0.835673:0.000000
1:@0.344363:0.852545:0.349129:0.852545:0.349129:0.843859:0.344363:0.843859:0.000000
x:@0.401380:0.849669:0.408165:0.849669:0.408165:0.835675:0.401380:0.835675:0.000000
2:@0.408165:0.852545:0.412931:0.852545:0.412931:0.843859:0.408165:0.843859:0.000000
Las soluciones :@0.501618:0.811950:0.601161:0.811950:0.601161:0.797051:0.501618:0.797051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la ecuación :@0.501618:0.830809:0.601981:0.830809:0.601981:0.815910:0.501618:0.815910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son:  = 0 y :@0.501618:0.849669:0.583437:0.849669:0.583437:0.834770:0.501618:0.834770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.528673:0.849669:0.538473:0.849669:0.538473:0.835675:0.528673:0.835675:0.000000:0.000000
1:@0.538465:0.852545:0.543231:0.852545:0.543231:0.843859:0.538465:0.843859:0.000000
x:@0.586179:0.849270:0.592964:0.849270:0.597066:0.835277:0.590281:0.835277:0.000000
–:@0.617097:0.849270:0.625473:0.849270:0.625473:0.834371:0.617097:0.834371:0.000000
2:@0.628038:0.841451:0.636213:0.841451:0.636213:0.826552:0.628038:0.826552:0.000000
5:@0.628189:0.859292:0.636364:0.859292:0.636364:0.844393:0.628189:0.844393:0.000000
2:@0.595738:0.851088:0.600464:0.851088:0.600464:0.842474:0.595738:0.842474:0.000000
=:@0.605004:0.849886:0.614201:0.849886:0.614201:0.835729:0.605004:0.835729:0.000000
Las soluciones :@0.710560:0.811954:0.810103:0.811954:0.810103:0.797055:0.710560:0.797055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la ecuación son::@0.710560:0.827041:0.837979:0.827041:0.837979:0.812142:0.710560:0.812142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.735577:0.851438:0.743953:0.851438:0.743953:0.836539:0.735577:0.836539:0.000000
5:@0.746675:0.843639:0.754850:0.843639:0.754850:0.828740:0.746675:0.828740:0.000000
2:@0.746525:0.861455:0.754700:0.861455:0.754700:0.846556:0.746525:0.846556:0.000000
5:@0.809195:0.843639:0.817370:0.843639:0.817370:0.828740:0.809195:0.828740:0.000000
2:@0.809044:0.861455:0.817220:0.861455:0.817220:0.846556:0.809044:0.846556:0.000000
x = :@0.711055:0.851438:0.735605:0.851438:0.735605:0.837444:0.711055:0.837444:0.000000:0.000000:0.000000:0.000000
1:@0.717839:0.854314:0.722605:0.854314:0.722605:0.845628:0.717839:0.845628:0.000000
x =  ; :@0.784036:0.851438:0.823725:0.849426:0.823725:0.835433:0.784036:0.837444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.790814:0.854314:0.795581:0.854314:0.795581:0.845628:0.790814:0.845628:0.000000
y:@0.766884:0.851438:0.774255:0.851438:0.774255:0.836539:0.766884:0.836539:0.000000
puede :@0.823725:0.850684:0.870899:0.850684:0.870899:0.835785:0.823725:0.835785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escribirse como: :@0.710562:0.879363:0.822301:0.879363:0.822301:0.864464:0.710562:0.864464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=±:@0.835862:0.878678:0.856475:0.878678:0.856475:0.865441:0.835862:0.865441:0.000000:0.000000
x:@0.825759:0.878102:0.832102:0.878102:0.832102:0.865018:0.825759:0.865018:0.000000
5:@0.859357:0.870488:0.867001:0.870488:0.867001:0.856557:0.859357:0.856557:0.000000
2:@0.859185:0.887017:0.866828:0.887017:0.866828:0.873086:0.859185:0.873086:0.000000
Ecuación cuadrática. Solución:@0.286308:0.063945:0.801625:0.063945:0.801625:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por factorización:@0.286308:0.094120:0.580373:0.094120:0.580373:0.057246:0.286308:0.057246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.159692:0.108604:0.159692:0.011516:0.094760:0.011516:0.000000
Ubicación del lanzamiento:@0.098614:0.336219:0.259005:0.336219:0.259005:0.322810:0.098614:0.322810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al obtener la solución de :@0.079052:0.468023:0.249022:0.468023:0.249022:0.453124:0.079052:0.453124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una ecuación, siempre :@0.094933:0.483110:0.249020:0.483110:0.249020:0.468211:0.094933:0.468211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debes verificar que :@0.119007:0.498198:0.249020:0.498198:0.249020:0.483299:0.119007:0.483299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
efectivamente es la :@0.116561:0.513286:0.249020:0.513286:0.249020:0.498387:0.116561:0.498387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solución.:@0.185966:0.528373:0.245353:0.528373:0.245353:0.513474:0.185966:0.513474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No todas las soluciones :@0.089539:0.547019:0.249022:0.547019:0.249022:0.532120:0.089539:0.532120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una ecuación cumplen :@0.070676:0.562107:0.249022:0.562107:0.249022:0.547208:0.070676:0.547208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con las condiciones del :@0.089573:0.577194:0.249022:0.577194:0.249022:0.562295:0.089573:0.562295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problema, como sucede :@0.086289:0.592282:0.249022:0.592282:0.249022:0.577383:0.086289:0.577383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el caso de la pelota.:@0.094062:0.607369:0.245353:0.607369:0.245353:0.592470:0.094062:0.592470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Verifica si x = 3 es :@0.137551:0.626015:0.248369:0.626015:0.248369:0.612021:0.137551:0.612021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solución de la ecuación:@0.096977:0.641103:0.245353:0.641103:0.245353:0.627109:0.096977:0.627109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x   – 3x + 4 = 0:@0.154605:0.656190:0.245351:0.656203:0.245351:0.642209:0.154605:0.642197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.164399:0.650705:0.168911:0.650705:0.168911:0.642547:0.164399:0.642547:0.000000
     Matemática:@0.116393:0.435582:0.223933:0.435582:0.223933:0.418681:0.116393:0.418681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En economía y finanzas, :@0.086171:0.795616:0.249019:0.795616:0.249019:0.780717:0.086171:0.780717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los números negativos :@0.094547:0.810704:0.249019:0.810704:0.249019:0.795805:0.094547:0.795805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresan pérdidas o :@0.111115:0.825792:0.249019:0.825792:0.249019:0.810893:0.111115:0.810893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
saldos en contra. :@0.133228:0.840879:0.249021:0.840879:0.249021:0.825980:0.133228:0.825980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Por qué :@0.191711:0.859525:0.248367:0.859525:0.248367:0.845531:0.191711:0.845531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el control de los gastos :@0.102672:0.874613:0.248367:0.874613:0.248367:0.860619:0.102672:0.860619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ayuda a tener una :@0.129258:0.889700:0.248367:0.889700:0.248367:0.875706:0.129258:0.875706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
economía sana?:@0.140683:0.904788:0.245352:0.904788:0.245352:0.890794:0.140683:0.890794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Educación :@0.143004:0.755979:0.224689:0.755979:0.224689:0.739078:0.143004:0.739078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financiera:@0.146190:0.769809:0.221240:0.769809:0.221240:0.752908:0.146190:0.752908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.151084:0.769809:0.154707:0.769809:0.154707:0.752908:0.151084:0.752908:0.000000
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 (por factoreo, completación de cuadrados, :@0.338228:0.954959:0.903652:0.954959:0.903652:0.944530:0.338228:0.944530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la solución de problemas).:@0.290067:0.965521:0.426857:0.965521:0.426857:0.955091:0.290067:0.955091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.66.:@0.273331:0.812489:0.273331:0.782337:0.259435:0.782337:0.259435:0.812489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000