Taller:@0.186147:0.075224:0.260568:0.075224:0.260568:0.047184:0.186147:0.047184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Evaluación formativa:@0.123672:0.093685:0.321677:0.093685:0.321677:0.073712:0.123672:0.073712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Evaluación formativa:@0.303782:0.074925:0.552575:0.074925:0.552575:0.050342:0.303782:0.050342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.136183:0.077858:0.213378:0.077858:0.213378:0.047130:0.136183:0.047130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
182:@0.024814:0.963884:0.056738:0.963884:0.056738:0.945447:0.024814:0.945447:0.000000:0.000000:0.000000
I.M.4.3.5:@0.140455:0.103262:0.183175:0.103262:0.183175:0.092507:0.140455:0.092507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. :@0.514246:0.898990:0.532987:0.898990:0.532987:0.881855:0.514246:0.881855:0.000000:0.000000:0.000000
Resuelve:@0.542735:0.898990:0.613827:0.898990:0.613827:0.882090:0.542735:0.882090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las siguientes ecuaciones utilizando el :@0.613827:0.898990:0.907635:0.898990:0.907635:0.883321:0.613827:0.883321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
método gráfico. :@0.542735:0.915587:0.663545:0.915587:0.663545:0.899917:0.542735:0.899917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trabaja:@0.663545:0.915587:0.722532:0.915587:0.722532:0.898686:0.663545:0.898686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en tu cuaderno.:@0.722532:0.915587:0.842383:0.915587:0.842383:0.899917:0.722532:0.899917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.542735:0.939306:0.561973:0.939306:0.561973:0.922170:0.542735:0.922170:0.000000:0.000000:0.000000
3 2 – 9:@0.571224:0.939306:0.622545:0.939306:0.622545:0.923636:0.571224:0.923636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.580217:0.939306:0.590997:0.939306:0.590997:0.922944:0.580217:0.922944:0.000000:0.000000
x :@0.622545:0.939306:0.633325:0.939306:0.633325:0.922944:0.622545:0.922944:0.000000:0.000000
= 0:@0.633325:0.939306:0.657336:0.939306:0.657336:0.923636:0.633325:0.923636:0.000000:0.000000:0.000000
3. :@0.514246:0.444153:0.532987:0.444153:0.532987:0.427017:0.514246:0.427017:0.000000:0.000000:0.000000
Encuentra:@0.542735:0.444153:0.623706:0.444153:0.623706:0.427252:0.542735:0.427252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la solución de cada ecuación, :@0.623706:0.444153:0.853793:0.444153:0.853793:0.428483:0.623706:0.428483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
deter-:@0.855249:0.444153:0.903640:0.444153:0.903640:0.427252:0.855249:0.427252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mina:@0.542735:0.460749:0.582981:0.460749:0.582981:0.443849:0.542735:0.443849:0.000000:0.000000:0.000000:0.000000
 el vértice y :@0.582981:0.460749:0.669829:0.460749:0.669829:0.445080:0.582981:0.445080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grafica :@0.669829:0.460749:0.727820:0.460749:0.727820:0.443849:0.669829:0.443849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en tu cuaderno.:@0.727820:0.460749:0.843636:0.460749:0.843636:0.445080:0.727820:0.445080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.542735:0.484468:0.561973:0.484468:0.561973:0.467332:0.542735:0.467332:0.000000:0.000000:0.000000
x :@0.571224:0.484468:0.582004:0.484468:0.582004:0.468107:0.571224:0.468107:0.000000:0.000000
2 – 4  + 4 = 0:@0.582004:0.484468:0.677109:0.484468:0.677109:0.468799:0.582004:0.468799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.613552:0.484468:0.621016:0.484468:0.621016:0.468107:0.613552:0.468107:0.000000
 :@0.542735:0.508187:0.546457:0.508187:0.546457:0.491051:0.542735:0.491051:0.000000
b) :@0.542735:0.531906:0.563116:0.531906:0.563116:0.514770:0.542735:0.514770:0.000000:0.000000:0.000000
2 2 + 8  = 0:@0.571224:0.531906:0.659824:0.531906:0.659824:0.516236:0.571224:0.516236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.580217:0.531906:0.590997:0.531906:0.590997:0.515545:0.580217:0.515545:0.000000:0.000000
x:@0.624314:0.531906:0.631777:0.531906:0.631777:0.515545:0.624314:0.515545:0.000000
 :@0.542735:0.555625:0.546457:0.555625:0.546457:0.538489:0.542735:0.538489:0.000000
c) :@0.542735:0.579344:0.560554:0.579344:0.560554:0.562208:0.542735:0.562208:0.000000:0.000000:0.000000
3 2 – 12  + 12 = 0:@0.571224:0.579344:0.704087:0.579344:0.704087:0.563674:0.571224:0.563674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.580217:0.579344:0.590997:0.579344:0.590997:0.562983:0.580217:0.562983:0.000000:0.000000
x:@0.631538:0.579344:0.639001:0.579344:0.639001:0.562983:0.631538:0.562983:0.000000
 :@0.542735:0.603063:0.546457:0.603063:0.546457:0.585927:0.542735:0.585927:0.000000
d) :@0.542735:0.626782:0.563226:0.626782:0.563226:0.609646:0.542735:0.609646:0.000000:0.000000:0.000000
5 2 – 10  + 5 = 0:@0.571224:0.626782:0.695095:0.626782:0.695095:0.611112:0.571224:0.611112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.580217:0.626782:0.590997:0.626782:0.590997:0.610421:0.580217:0.610421:0.000000:0.000000
x:@0.631538:0.626782:0.639001:0.626782:0.639001:0.610421:0.631538:0.610421:0.000000
 :@0.542735:0.650501:0.546457:0.650501:0.546457:0.633365:0.542735:0.633365:0.000000
e)   :@0.542735:0.674220:0.569418:0.674220:0.569418:0.657084:0.542735:0.657084:0.000000:0.000000:0.000000:0.000000:0.000000
4 2 – 16  + 16 = 0:@0.569418:0.674220:0.702281:0.674220:0.702281:0.658550:0.569418:0.658550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.578411:0.674220:0.589191:0.674220:0.589191:0.657859:0.578411:0.657859:0.000000:0.000000
x:@0.629732:0.674220:0.637195:0.674220:0.637195:0.657859:0.629732:0.657859:0.000000
 :@0.542735:0.697939:0.546457:0.697939:0.546457:0.680803:0.542735:0.680803:0.000000
f)   :@0.542735:0.721658:0.567299:0.721658:0.567299:0.704522:0.542735:0.704522:0.000000:0.000000:0.000000:0.000000:0.000000
( – 3)2 + 5 = 0:@0.567299:0.721658:0.671452:0.721658:0.671452:0.705988:0.567299:0.705988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.572182:0.721658:0.582962:0.721658:0.582962:0.705297:0.572182:0.705297:0.000000:0.000000
 :@0.542735:0.745377:0.546457:0.745377:0.546457:0.728241:0.542735:0.728241:0.000000
g)   :@0.542735:0.769096:0.570469:0.769096:0.570469:0.751960:0.542735:0.751960:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.570469:0.769096:0.577932:0.769096:0.577932:0.752735:0.570469:0.752735:0.000000
2 –5  – 6 = 0:@0.577932:0.769096:0.667232:0.769096:0.667232:0.753426:0.577932:0.753426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.605444:0.769096:0.612907:0.769096:0.612907:0.752735:0.605444:0.752735:0.000000
 :@0.542735:0.792815:0.546457:0.792815:0.546457:0.775679:0.542735:0.775679:0.000000
h)   :@0.542735:0.816534:0.570487:0.816534:0.570487:0.799398:0.542735:0.799398:0.000000:0.000000:0.000000:0.000000:0.000000
4 2 –12  + 9 = 0:@0.570487:0.816534:0.687005:0.816534:0.687005:0.800864:0.570487:0.800864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.579480:0.816534:0.586943:0.816534:0.586943:0.800173:0.579480:0.800173:0.000000
x:@0.623448:0.816534:0.630911:0.816534:0.630911:0.800173:0.623448:0.800173:0.000000
 :@0.542735:0.840253:0.546457:0.840253:0.546457:0.823117:0.542735:0.823117:0.000000
2. :@0.514246:0.125973:0.532987:0.125973:0.532987:0.108837:0.514246:0.108837:0.000000:0.000000:0.000000
Escribe:@0.542735:0.125973:0.600911:0.125973:0.600911:0.109072:0.542735:0.109072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 verdadero (V) o falso (F). :@0.601095:0.125973:0.810175:0.125973:0.810175:0.110303:0.601095:0.110303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Justifica:@0.814045:0.125973:0.879850:0.125973:0.879850:0.109072:0.814045:0.109072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 tu  :@0.880034:0.125973:0.907676:0.125973:0.907676:0.110303:0.880034:0.110303:0.000000:0.000000:0.000000:0.000000:0.000000
respuesta.:@0.542735:0.142569:0.618473:0.142569:0.618473:0.126899:0.542735:0.126899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.542735:0.166288:0.561973:0.166288:0.561973:0.149152:0.542735:0.149152:0.000000:0.000000:0.000000
2 2 – 3 = 0, es una ecuación cuadrática :@0.571224:0.166288:0.867946:0.166288:0.867946:0.150618:0.571224:0.150618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.580217:0.166288:0.590997:0.166288:0.590997:0.149927:0.580217:0.149927:0.000000:0.000000
x :@0.622545:0.166288:0.633325:0.166288:0.633325:0.149927:0.622545:0.149927:0.000000:0.000000
incompleta.  :@0.571224:0.182884:0.666421:0.182884:0.666421:0.167215:0.571224:0.167215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.834205:0.182884:0.838241:0.182884:0.838241:0.167215:0.834205:0.167215:0.000000
b) :@0.542735:0.206603:0.563116:0.206603:0.563116:0.189468:0.542735:0.189468:0.000000:0.000000:0.000000
Una ecuación cuadrática siempre tiene como :@0.571224:0.206603:0.907639:0.206603:0.907639:0.190934:0.571224:0.190934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solución dos raíces. :@0.571224:0.223200:0.716837:0.223200:0.716837:0.207530:0.571224:0.207530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.716837:0.223200:0.720873:0.223200:0.720873:0.207530:0.716837:0.207530:0.000000
c) :@0.542735:0.246919:0.560554:0.246919:0.560554:0.229783:0.542735:0.229783:0.000000:0.000000:0.000000
Si la parábola es cóncava hacia abajo, no tiene :@0.571224:0.246919:0.907713:0.246919:0.907713:0.231249:0.571224:0.231249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
raíces.  :@0.571224:0.263515:0.623982:0.263515:0.623982:0.247845:0.571224:0.247845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.542735:0.287234:0.563226:0.287234:0.563226:0.270098:0.542735:0.270098:0.000000:0.000000:0.000000
Una :@0.571224:0.287234:0.603933:0.287234:0.603933:0.271564:0.571224:0.271564:0.000000:0.000000:0.000000:0.000000
ecuación cuadrática siempre se representa :@0.603988:0.287234:0.907678:0.287234:0.907678:0.271564:0.603988:0.271564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con una parábola:@0.571224:0.303831:0.694284:0.303831:0.694284:0.288161:0.571224:0.288161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.693915:0.303831:0.700789:0.303831:0.700789:0.288161:0.693915:0.288161:0.000000:0.000000
e) :@0.542735:0.327550:0.561973:0.327550:0.561973:0.310414:0.542735:0.310414:0.000000:0.000000:0.000000
La ecuación de una parábola con el vértice en el :@0.571224:0.327550:0.907694:0.327550:0.907694:0.311880:0.571224:0.311880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
origen tiene dos raíces iguales.  :@0.571224:0.344146:0.791766:0.344146:0.791766:0.328476:0.571224:0.328476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f) :@0.542735:0.367865:0.559854:0.367865:0.559854:0.350729:0.542735:0.350729:0.000000:0.000000:0.000000
Una  de  las raíces de la ecuación cuadrática :@0.571224:0.367865:0.907694:0.367865:0.907694:0.352195:0.571224:0.352195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.903640:0.367865:0.907676:0.367865:0.907676:0.352195:0.903640:0.352195:0.000000
x:@0.571224:0.384461:0.578687:0.384461:0.578687:0.368100:0.571224:0.368100:0.000000
2:@0.578325:0.378530:0.583568:0.378530:0.583568:0.369394:0.578325:0.369394:0.000000
 –   = 0 es cero. :@0.583353:0.384577:0.692870:0.384577:0.692870:0.368907:0.583353:0.368907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.599532:0.384577:0.606995:0.384577:0.606995:0.368216:0.599532:0.368216:0.000000
 :@0.692500:0.384577:0.696535:0.384577:0.696535:0.368907:0.692500:0.368907:0.000000
g) :@0.542738:0.408296:0.563027:0.408296:0.563027:0.391160:0.542738:0.391160:0.000000:0.000000:0.000000
Una parábola siempre corta al eje y.:@0.571227:0.408296:0.818784:0.408296:0.818784:0.392626:0.571227:0.392626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.818784:0.408296:0.822507:0.408296:0.822507:0.391160:0.818784:0.391160:0.000000
1. :@0.096366:0.126047:0.115107:0.126047:0.115107:0.108911:0.096366:0.108911:0.000000:0.000000:0.000000
Determina:@0.124855:0.126047:0.209622:0.126047:0.209622:0.109146:0.124855:0.109146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el tipo de solución de cada función :@0.209622:0.126047:0.489833:0.126047:0.489833:0.110377:0.209622:0.110377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de acuerdo con su gráfica.:@0.124855:0.142643:0.317274:0.142643:0.317274:0.126974:0.124855:0.126974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.124855:0.170387:0.140371:0.170387:0.140371:0.153251:0.124855:0.153251:0.000000:0.000000
 :@0.140371:0.365270:0.144093:0.365270:0.144093:0.348134:0.140371:0.348134:0.000000
b):@0.124855:0.399832:0.141513:0.399832:0.141513:0.382696:0.124855:0.382696:0.000000:0.000000
 :@0.141513:0.573333:0.145236:0.573333:0.145236:0.556197:0.141513:0.556197:0.000000
c):@0.124855:0.597342:0.138952:0.597342:0.138952:0.580207:0.124855:0.580207:0.000000:0.000000
 :@0.138952:0.755769:0.142674:0.755769:0.142674:0.738633:0.138952:0.738633:0.000000
d):@0.124855:0.798546:0.141624:0.798546:0.141624:0.781410:0.124855:0.781410:0.000000:0.000000
 :@0.141624:0.956972:0.145346:0.956972:0.145346:0.939836:0.141624:0.939836:0.000000
-5:@0.267602:0.846976:0.276819:0.846976:0.276819:0.836546:0.267602:0.836546:0.000000:0.000000
0:@0.291653:0.825756:0.297376:0.825756:0.297376:0.815327:0.291653:0.815327:0.000000
5:@0.324230:0.828133:0.329953:0.828133:0.329953:0.817703:0.324230:0.817703:0.000000
10:@0.363094:0.828021:0.374539:0.828021:0.374539:0.817591:0.363094:0.817591:0.000000:0.000000
15:@0.404759:0.828021:0.416204:0.828021:0.416204:0.817591:0.404759:0.817591:0.000000:0.000000
y:@0.275916:0.796978:0.281076:0.796978:0.281076:0.786549:0.275916:0.786549:0.000000
x:@0.438900:0.828022:0.443931:0.828022:0.443931:0.817593:0.438900:0.817593:0.000000
-10:@0.263633:0.873823:0.278573:0.873823:0.278573:0.863394:0.263633:0.863394:0.000000:0.000000:0.000000
-15:@0.263283:0.900602:0.278223:0.900602:0.278223:0.890173:0.263283:0.890173:0.000000:0.000000:0.000000
-5:@0.239501:0.828245:0.248719:0.828245:0.248719:0.817815:0.239501:0.817815:0.000000:0.000000
-10:@0.195031:0.828206:0.209970:0.828206:0.209970:0.817776:0.195031:0.817776:0.000000:0.000000:0.000000
15:@0.258891:0.238867:0.270859:0.238867:0.270859:0.227961:0.258891:0.227961:0.000000:0.000000
0:@0.284471:0.330211:0.290455:0.330211:0.290455:0.319305:0.284471:0.319305:0.000000
0:@0.265022:0.319379:0.271006:0.319379:0.271006:0.308473:0.265022:0.308473:0.000000
5:@0.319113:0.332742:0.325097:0.332742:0.325097:0.321836:0.319113:0.321836:0.000000
10:@0.360435:0.332620:0.372404:0.332620:0.372404:0.321714:0.360435:0.321714:0.000000:0.000000
15:@0.404741:0.332620:0.416709:0.332620:0.416709:0.321714:0.404741:0.321714:0.000000:0.000000
20:@0.258810:0.210450:0.270779:0.210450:0.270779:0.199543:0.258810:0.199543:0.000000:0.000000
25:@0.258357:0.182075:0.270325:0.182075:0.270325:0.171169:0.258357:0.171169:0.000000:0.000000
y:@0.267748:0.169205:0.273143:0.169205:0.273143:0.158299:0.267748:0.158299:0.000000
x:@0.441045:0.332620:0.446305:0.332620:0.446305:0.321714:0.441045:0.321714:0.000000
10:@0.258678:0.267414:0.270646:0.267414:0.270646:0.256508:0.258678:0.256508:0.000000:0.000000
5:@0.264489:0.295893:0.270474:0.295893:0.270474:0.284987:0.264489:0.284987:0.000000
-5:@0.229009:0.332859:0.238648:0.332859:0.238648:0.321953:0.229009:0.321953:0.000000:0.000000
-10:@0.181721:0.332816:0.197344:0.332816:0.197344:0.321910:0.181721:0.321910:0.000000:0.000000:0.000000
2:@0.294163:0.434799:0.299362:0.434799:0.299362:0.425323:0.294163:0.425323:0.000000
0:@0.309473:0.511372:0.314673:0.511372:0.314673:0.501897:0.309473:0.501897:0.000000
0:@0.296837:0.502960:0.302037:0.502960:0.302037:0.493484:0.296837:0.493484:0.000000
1:@0.366337:0.513196:0.371536:0.513196:0.371536:0.503720:0.366337:0.503720:0.000000
2 x:@0.428966:0.513467:0.442615:0.513195:0.442615:0.503719:0.428966:0.503991:0.000000:0.000000:0.000000
3:@0.294957:0.399057:0.300156:0.399057:0.300156:0.389582:0.294957:0.389582:0.000000
y:@0.295436:0.390716:0.300124:0.390716:0.300124:0.381241:0.295436:0.381241:0.000000
1:@0.295240:0.470540:0.300439:0.470540:0.300439:0.461064:0.295240:0.461064:0.000000
-1:@0.294756:0.542022:0.303130:0.542022:0.303130:0.532547:0.294756:0.532547:0.000000:0.000000
-1:@0.239500:0.513638:0.247874:0.513638:0.247874:0.504162:0.239500:0.504162:0.000000:0.000000
-2:@0.174313:0.513636:0.182687:0.513636:0.182687:0.504161:0.174313:0.504161:0.000000:0.000000
2:@0.283103:0.621861:0.287665:0.621861:0.287665:0.613547:0.283103:0.613547:0.000000
y:@0.283907:0.597615:0.288020:0.597615:0.288020:0.589301:0.283907:0.589301:0.000000
x:@0.468704:0.689977:0.472714:0.689977:0.472714:0.681663:0.468704:0.681663:0.000000
0:@0.296536:0.689044:0.301098:0.689044:0.301098:0.680730:0.296536:0.680730:0.000000
0:@0.285449:0.681663:0.290011:0.681663:0.290011:0.673350:0.285449:0.673350:0.000000
1:@0.346425:0.690643:0.350987:0.690643:0.350987:0.682330:0.346425:0.682330:0.000000
2:@0.401373:0.690882:0.405935:0.690882:0.405935:0.682568:0.401373:0.682568:0.000000
3:@0.456294:0.690642:0.460856:0.690642:0.460856:0.682328:0.456294:0.682328:0.000000
1:@0.284048:0.653219:0.288609:0.653219:0.288609:0.644906:0.284048:0.644906:0.000000
-1:@0.283622:0.715935:0.290970:0.715935:0.290970:0.707621:0.283622:0.707621:0.000000:0.000000
-1:@0.235144:0.691031:0.242492:0.691031:0.242492:0.682718:0.235144:0.682718:0.000000:0.000000
-2:@0.177952:0.691030:0.185299:0.691030:0.185299:0.682717:0.177952:0.682717:0.000000:0.000000
x:@0.570887:0.492696:0.575637:0.492696:0.575637:0.482284:0.570887:0.482284:0.000000
 = 2     V(2, 0):@0.575637:0.492696:0.634153:0.492696:0.634153:0.482724:0.575637:0.482724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No corta al eje   V(3, 5):@0.570887:0.736592:0.675900:0.736592:0.675900:0.726621:0.570887:0.726621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.640755:0.736592:0.645504:0.736592:0.645504:0.726181:0.640755:0.726181:0.000000
x:@0.570887:0.587114:0.575637:0.587114:0.575637:0.576703:0.570887:0.576703:0.000000
 = 2 :@0.575637:0.587114:0.596053:0.587114:0.596053:0.577143:0.575637:0.577143:0.000000:0.000000:0.000000:0.000000:0.000000
V = (2, 0):@0.570887:0.597174:0.611251:0.597174:0.611251:0.587202:0.570887:0.587202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.570887:0.687629:0.574958:0.687629:0.574958:0.678705:0.570887:0.678705:0.000000
 = 2 :@0.574958:0.687629:0.592458:0.687629:0.592458:0.679082:0.574958:0.679082:0.000000:0.000000:0.000000:0.000000:0.000000
V = (2, 0):@0.570887:0.699699:0.605484:0.699699:0.605484:0.691152:0.570887:0.691152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.570887:0.635947:0.574958:0.635947:0.574958:0.627022:0.570887:0.627022:0.000000
 = 1:@0.574958:0.635947:0.590256:0.635947:0.590256:0.627399:0.574958:0.627399:0.000000:0.000000:0.000000:0.000000
V = (1, 0):@0.570887:0.648017:0.605484:0.648017:0.605484:0.639470:0.570887:0.639470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.570887:0.540397:0.575637:0.540397:0.575637:0.529985:0.570887:0.529985:0.000000
 = –4;   = 0 :@0.575637:0.540397:0.629122:0.540397:0.629122:0.530425:0.575637:0.530425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.603957:0.540397:0.608706:0.540397:0.608706:0.529985:0.603957:0.529985:0.000000
V = (–2, –8):@0.570887:0.550456:0.622977:0.550456:0.622977:0.540485:0.570887:0.540485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No tiene solución en los números reales.:@0.155716:0.354658:0.343726:0.354658:0.343726:0.344687:0.155716:0.344687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tiene dos raíces reales diferentes.:@0.155716:0.557647:0.310142:0.557647:0.310142:0.547675:0.155716:0.547675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tiene dos raíces reales iguales.:@0.157393:0.754000:0.298416:0.754000:0.298416:0.744028:0.157393:0.744028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No tiene solución en los reales.:@0.157393:0.954770:0.301089:0.954770:0.301089:0.944799:0.157393:0.944799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.669333:0.935302:0.674082:0.935302:0.674082:0.924891:0.669333:0.924891:0.000000
 = 3,   = 0:@0.674082:0.935302:0.719136:0.935302:0.719136:0.925331:0.674082:0.925331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.696539:0.935302:0.701288:0.935302:0.701288:0.924891:0.696539:0.924891:0.000000
V:@0.862659:0.181039:0.868628:0.181039:0.868628:0.171067:0.862659:0.171067:0.000000
Falta el término independiente.:@0.661452:0.182368:0.807506:0.182368:0.807506:0.172396:0.661452:0.172396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El grado de la ecuación determina el número de raíces.:@0.572564:0.230439:0.828424:0.230439:0.828424:0.220468:0.572564:0.220468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si es cóncava hacia abajo va a tener solución.:@0.572564:0.273574:0.782598:0.273574:0.782598:0.263602:0.572564:0.263602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Su representación es una parábola.:@0.572564:0.314191:0.735553:0.314191:0.735553:0.304219:0.572564:0.304219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La solución es   =  = 0:@0.572564:0.353849:0.686122:0.353851:0.686122:0.343879:0.572564:0.343877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.640438:0.353849:0.645188:0.353849:0.645188:0.343437:0.640438:0.343437:0.000000
1:@0.645184:0.355864:0.648520:0.355864:0.648520:0.350051:0.645184:0.350051:0.000000
 x:@0.658079:0.353851:0.664939:0.353851:0.664939:0.343439:0.658079:0.343439:0.000000:0.000000
2:@0.664939:0.355864:0.668275:0.355864:0.668275:0.350051:0.664939:0.350051:0.000000
Las ramas de la parábola se extienden hacia el infinito.:@0.570884:0.417738:0.822897:0.417738:0.822897:0.407767:0.570884:0.407767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  –   =  (  – 1) = 0, entonces   = 0:@0.570884:0.392946:0.733863:0.392951:0.733863:0.382979:0.570884:0.382974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.575918:0.389102:0.579254:0.389102:0.579254:0.383289:0.575918:0.383289:0.000000
x:@0.590253:0.392951:0.595002:0.392951:0.595002:0.382539:0.590253:0.382539:0.000000
x x:@0.607128:0.392951:0.619734:0.392951:0.619734:0.382539:0.607128:0.382539:0.000000:0.000000:0.000000
x:@0.707929:0.392951:0.712678:0.392951:0.712678:0.382539:0.707929:0.382539:0.000000
1:@0.712678:0.394964:0.716014:0.394964:0.716014:0.389150:0.712678:0.389150:0.000000
V:@0.862669:0.302194:0.868638:0.302194:0.868638:0.292222:0.862669:0.292222:0.000000
V:@0.862669:0.342010:0.868638:0.342010:0.868638:0.332038:0.862669:0.332038:0.000000
V:@0.862669:0.382724:0.868638:0.382724:0.868638:0.372752:0.862669:0.372752:0.000000
V:@0.862669:0.405448:0.868638:0.405448:0.868638:0.395476:0.862669:0.395476:0.000000
F:@0.862939:0.261515:0.868356:0.261515:0.868356:0.251543:0.862939:0.251543:0.000000
V:@0.862669:0.221699:0.868638:0.221699:0.868638:0.211727:0.862669:0.211727:0.000000
x:@0.572509:0.777007:0.576987:0.777007:0.579864:0.767190:0.575387:0.767190:0.000000
x:@0.598392:0.777007:0.602870:0.777007:0.605748:0.767190:0.601270:0.767190:0.000000
V:@0.570469:0.795254:0.575942:0.795254:0.578819:0.785437:0.573346:0.785437:0.000000
6;:@0.589734:0.777007:0.597374:0.777007:0.597374:0.767174:0.589734:0.767174:0.000000:0.000000
1:@0.621364:0.777007:0.626760:0.777007:0.626760:0.767174:0.621364:0.767174:0.000000
5 49:@0.594853:0.790110:0.616833:0.790110:0.616833:0.780276:0.594853:0.780276:0.000000:0.000000:0.000000:0.000000
2 4:@0.594731:0.801827:0.614069:0.801827:0.614069:0.791994:0.594731:0.791994:0.000000:0.000000:0.000000
;:@0.601951:0.795246:0.603875:0.795246:0.603875:0.785413:0.601951:0.785413:0.000000
=:@0.581662:0.777414:0.561849:0.777414:0.561849:0.768070:0.581662:0.768070:0.000000
=:@0.607546:0.777414:0.587733:0.777414:0.587733:0.768070:0.607546:0.768070:0.000000
−:@0.615396:0.777414:0.621466:0.777414:0.621466:0.768070:0.615396:0.768070:0.000000
= ⎜:@0.581696:0.795661:0.593537:0.796441:0.593537:0.787098:0.581696:0.786318:0.000000:0.000000:0.000000
⎛:@0.589292:0.789861:0.593537:0.789861:0.593537:0.780517:0.589292:0.780517:0.000000
⎝:@0.589292:0.802001:0.593537:0.802001:0.593537:0.792657:0.589292:0.792657:0.000000
⎞:@0.618249:0.789861:0.622494:0.789861:0.622494:0.780517:0.618249:0.780517:0.000000
⎠:@0.618249:0.802001:0.622494:0.802001:0.622494:0.792657:0.618249:0.792657:0.000000
⎟:@0.618249:0.796441:0.622494:0.796441:0.622494:0.787098:0.618249:0.787098:0.000000
x:@0.572509:0.833035:0.576987:0.833035:0.579864:0.823218:0.575387:0.823218:0.000000
V:@0.570469:0.855784:0.575942:0.855784:0.578819:0.845968:0.573346:0.845968:0.000000
3:@0.590519:0.827896:0.595915:0.827896:0.595915:0.818063:0.590519:0.818063:0.000000
2:@0.590398:0.839613:0.595793:0.839613:0.595793:0.829780:0.590398:0.829780:0.000000
3:@0.594854:0.850642:0.600249:0.850642:0.600249:0.840808:0.594854:0.840808:0.000000
2:@0.594732:0.862359:0.600128:0.862359:0.600128:0.852525:0.594732:0.852525:0.000000
;0:@0.601952:0.855778:0.610233:0.855778:0.610233:0.845945:0.601952:0.845945:0.000000:0.000000
=:@0.581663:0.833439:0.587733:0.833439:0.587733:0.824096:0.581663:0.824096:0.000000
= ⎜:@0.581696:0.856185:0.593538:0.856965:0.593538:0.847621:0.581696:0.846841:0.000000:0.000000:0.000000
⎛:@0.589292:0.850384:0.593538:0.850384:0.593538:0.841041:0.589292:0.841041:0.000000
⎝:@0.589292:0.862525:0.593538:0.862525:0.593538:0.853181:0.589292:0.853181:0.000000
⎞:@0.610775:0.850384:0.615021:0.850384:0.615021:0.841041:0.610775:0.841041:0.000000
⎠:@0.610775:0.862525:0.615021:0.862525:0.615021:0.853181:0.610775:0.853181:0.000000
⎟:@0.610775:0.856965:0.615021:0.856965:0.615021:0.847621:0.610775:0.847621:0.000000