132:@0.032380:0.974518:0.061577:0.974518:0.061577:0.956590:0.032380:0.956590:0.000000:0.000000:0.000000 Funciones:@0.073089:0.043661:0.163813:0.043661:0.163813:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. :@0.104633:0.139291:0.119708:0.139291:0.119708:0.122857:0.104633:0.122857:0.000000:0.000000:0.000000 d. :@0.104633:0.182938:0.121512:0.182938:0.121512:0.166504:0.104633:0.166504:0.000000:0.000000:0.000000 23. Usa la fórmula para resolver ecuaciones de :@0.073089:0.224595:0.489558:0.224595:0.489558:0.207926:0.073089:0.207926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 segundo grado y resuelve las siguientes ecuaciones :@0.103214:0.241237:0.489881:0.241237:0.489881:0.224568:0.103214:0.224568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 con estas condiciones: a) x en términos de y, b) y en :@0.103214:0.257879:0.489406:0.257879:0.489406:0.241210:0.103214:0.241210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 términos de x.:@0.103214:0.274521:0.210558:0.274521:0.210558:0.257851:0.103214:0.257851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.104633:0.300369:0.120076:0.300369:0.120076:0.283935:0.104633:0.283935:0.000000:0.000000:0.000000 b. :@0.104633:0.347489:0.121531:0.347489:0.121531:0.331055:0.104633:0.331055:0.000000:0.000000:0.000000 24. Escribe (V) si los siguientes enunciados son :@0.073089:0.399869:0.489593:0.399869:0.489593:0.383200:0.073089:0.383200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 verdaderos o (F) si son falsos.:@0.103214:0.416511:0.321931:0.416511:0.321931:0.399841:0.103214:0.399841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. Toda ecuación cuadrática se puede resolver con :@0.104633:0.436726:0.489645:0.436726:0.489645:0.420292:0.104633:0.420292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la fórmula general. :@0.134760:0.453368:0.273198:0.453368:0.273198:0.436934:0.134760:0.436934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. Las ecuaciones cuadráticas tienen siempre :@0.104633:0.473584:0.489746:0.473584:0.489746:0.457150:0.104633:0.457150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 solución en los números reales.:@0.134760:0.490226:0.360798:0.490226:0.360798:0.473792:0.134760:0.473792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 25. Resuelve los siguientes problemas.:@0.073089:0.521162:0.366132:0.521162:0.366132:0.504492:0.073089:0.504492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. Dentro de 9 años, la edad de Miguel será la mitad :@0.104633:0.559246:0.489799:0.559246:0.489799:0.542813:0.104633:0.542813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 del cuadrado de la edad que tenía hace 11 años. :@0.134760:0.575888:0.490098:0.575888:0.490098:0.559454:0.134760:0.559454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Cuál es la edad de Miguel? :@0.134760:0.592530:0.338816:0.592530:0.338816:0.576096:0.134760:0.576096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. El producto de 2 números consecutivos es 462. :@0.104633:0.630615:0.489650:0.630615:0.489650:0.614181:0.104633:0.614181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Cuáles son esos números?:@0.134760:0.647256:0.331786:0.647256:0.331786:0.630823:0.134760:0.630823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. El área de un terreno rectangular es 250 :@0.104633:0.685341:0.429455:0.685341:0.429455:0.668907:0.104633:0.668907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m²:@0.429939:0.685341:0.449524:0.685341:0.449524:0.668935:0.429939:0.668935:0.000000:0.000000 . Si la :@0.449469:0.685341:0.489781:0.685341:0.489781:0.668907:0.449469:0.668907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 longitud es 2 más que 3 veces el ancho, :@0.134760:0.701983:0.489649:0.701983:0.489649:0.685549:0.134760:0.685549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.248609:0.701983:0.263225:0.701983:0.263225:0.685577:0.248609:0.685577:0.000000 ¿cuáles son las dimensiones del terreno?:@0.134760:0.718625:0.428354:0.718625:0.428354:0.702191:0.134760:0.702191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d. Si se multiplica la cuarta parte de un número por :@0.104633:0.756709:0.489993:0.756709:0.489993:0.740275:0.104633:0.740275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sus dos tercios, el resultado es el doble del :@0.134760:0.773351:0.489891:0.773351:0.489891:0.756917:0.134760:0.756917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 número. ¿Cuál es el número?:@0.134760:0.789993:0.344191:0.789993:0.344191:0.773559:0.134760:0.773559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e. Se quiere enmarcar de manera uniforme una :@0.104633:0.828077:0.489888:0.828077:0.489888:0.811644:0.104633:0.811644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 pintura de 20 pulgadas de largo por 15 pulgadas :@0.134760:0.844719:0.490123:0.844719:0.490123:0.828286:0.134760:0.828286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de ancho. Para ello, se pone la pintura en una :@0.134760:0.861361:0.489954:0.861361:0.489954:0.844927:0.134760:0.844927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tabla rectangular, cuyo perímetro es de 102 :@0.134760:0.878003:0.489584:0.878003:0.489584:0.861569:0.134760:0.861569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 pulgadas. ¿Cuál es el ancho de la banda alrededor :@0.134760:0.894645:0.489733:0.894645:0.489733:0.878211:0.134760:0.878211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de la pintura? :@0.134760:0.911287:0.237234:0.911287:0.237234:0.894853:0.134760:0.894853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f. :@0.545774:0.137498:0.556708:0.137498:0.556708:0.121064:0.545774:0.121064:0.000000:0.000000:0.000000 La suma de dos números es 17 y la suma de sus :@0.576178:0.137498:0.930996:0.137498:0.930996:0.121064:0.576178:0.121064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cuadrados es 145. ¿Cuáles son esos números? :@0.575902:0.154140:0.901992:0.154140:0.901992:0.137706:0.575902:0.137706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 g. Dentro de 7 años, la edad de Martín será la mitad :@0.545774:0.192225:0.930674:0.192225:0.930674:0.175791:0.545774:0.175791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 del cuadrado de la edad que tenía hace 5 años. :@0.575902:0.208866:0.930643:0.208866:0.930643:0.192433:0.575902:0.192433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Cuál es la edad de Martín? :@0.575902:0.225508:0.777016:0.225508:0.777016:0.209074:0.575902:0.209074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 26. Averigua, sin resolver las ecuaciones, si los pares de :@0.514231:0.260019:0.930979:0.260019:0.930979:0.243349:0.514231:0.243349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 números en cada caso son raíces de la ecuación.:@0.544355:0.276660:0.908014:0.276660:0.908014:0.259991:0.544355:0.259991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.545774:0.301522:0.561218:0.301522:0.561218:0.285088:0.545774:0.285088:0.000000:0.000000:0.000000 x:@0.575976:0.301522:0.583430:0.301522:0.583430:0.285116:0.575976:0.285116:0.000000 2:@0.583365:0.295458:0.588602:0.295458:0.588602:0.285877:0.583365:0.285877:0.000000 + – 12 = 0; :@0.588554:0.301522:0.699056:0.301522:0.699056:0.285088:0.588554:0.285088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.607348:0.301522:0.614803:0.301522:0.614803:0.285116:0.607348:0.285116:0.000000 x:@0.755199:0.301522:0.762654:0.301522:0.762654:0.285116:0.755199:0.285116:0.000000 1:@0.762587:0.304695:0.767823:0.304695:0.767823:0.295114:0.762587:0.295114:0.000000 = 3, = –4:@0.767777:0.301522:0.867849:0.301522:0.867849:0.285088:0.767777:0.285088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.818342:0.301522:0.825797:0.301522:0.825797:0.285116:0.818342:0.285116:0.000000 2:@0.825734:0.304695:0.830970:0.304695:0.830970:0.295114:0.825734:0.295114:0.000000 b. 2 + 4 – 1 = 0; :@0.545774:0.336033:0.699045:0.336033:0.699045:0.319599:0.545774:0.319599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.584885:0.336033:0.592340:0.336033:0.592340:0.319627:0.584885:0.319627:0.000000 2 :@0.592268:0.329969:0.599812:0.329969:0.599812:0.320388:0.592268:0.320388:0.000000:0.000000 x :@0.623505:0.336033:0.634199:0.336033:0.634199:0.319627:0.623505:0.319627:0.000000:0.000000 x:@0.755199:0.336033:0.762654:0.336033:0.762654:0.319627:0.755199:0.319627:0.000000 1 :@0.762587:0.339205:0.770131:0.339205:0.770131:0.329624:0.762587:0.329624:0.000000:0.000000 = 2, = –3:@0.770080:0.336033:0.866201:0.336033:0.866201:0.319599:0.770080:0.319599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.816706:0.336033:0.824161:0.336033:0.824161:0.319627:0.816706:0.319627:0.000000 2:@0.824087:0.339205:0.829324:0.339205:0.829324:0.329624:0.824087:0.329624:0.000000 c. :@0.545774:0.370543:0.560850:0.370543:0.560850:0.354109:0.545774:0.354109:0.000000:0.000000:0.000000 x:@0.575976:0.370543:0.583430:0.370543:0.583430:0.354137:0.575976:0.354137:0.000000 2 :@0.583365:0.364479:0.590909:0.364479:0.590909:0.354898:0.583365:0.354898:0.000000:0.000000 + 3 + 15 = ; :@0.590859:0.370543:0.699050:0.370543:0.699050:0.354109:0.590859:0.354109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.614604:0.370543:0.622059:0.370543:0.622059:0.354137:0.614604:0.354137:0.000000 x:@0.755199:0.370543:0.762654:0.370543:0.762654:0.354137:0.755199:0.354137:0.000000 1 :@0.762587:0.373715:0.770131:0.373715:0.770131:0.364134:0.762587:0.364134:0.000000:0.000000 = –3, = 3:@0.770080:0.370543:0.858293:0.370543:0.858293:0.354109:0.770080:0.354109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.817920:0.370543:0.825375:0.370543:0.825375:0.354137:0.817920:0.354137:0.000000 2:@0.825308:0.373715:0.830545:0.373715:0.830545:0.364134:0.825308:0.364134:0.000000 d. 3 – 17 + 20 = 0; :@0.545774:0.405053:0.708829:0.405053:0.708829:0.388620:0.545774:0.388620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.584885:0.405053:0.592340:0.405053:0.592340:0.388647:0.584885:0.388647:0.000000 2 :@0.592268:0.398989:0.599812:0.398989:0.599812:0.389409:0.592268:0.389409:0.000000:0.000000 x :@0.630628:0.405053:0.641323:0.405053:0.641323:0.388647:0.630628:0.388647:0.000000:0.000000 x:@0.755199:0.405053:0.762654:0.405053:0.762654:0.388647:0.755199:0.388647:0.000000 1 :@0.762587:0.408226:0.770131:0.408226:0.770131:0.398645:0.762587:0.398645:0.000000:0.000000 = –5, = –4:@0.770080:0.405053:0.867423:0.405053:0.867423:0.388620:0.770080:0.388620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.817920:0.405053:0.825375:0.405053:0.825375:0.388647:0.817920:0.388647:0.000000 2:@0.825308:0.408226:0.830545:0.408226:0.830545:0.398645:0.825308:0.398645:0.000000 e. 2 – 12 + 13 = 0; :@0.545774:0.439564:0.708829:0.439564:0.708829:0.423130:0.545774:0.423130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.584885:0.439564:0.592340:0.439564:0.592340:0.423158:0.584885:0.423158:0.000000 2 :@0.592266:0.433500:0.599810:0.433500:0.599810:0.423919:0.592266:0.423919:0.000000:0.000000 x :@0.630628:0.439564:0.641323:0.439564:0.641323:0.423158:0.630628:0.423158:0.000000:0.000000 x:@0.755199:0.439564:0.762654:0.439564:0.762654:0.423158:0.755199:0.423158:0.000000 1 :@0.762587:0.442736:0.770131:0.442736:0.770131:0.433155:0.762587:0.433155:0.000000:0.000000 = 12, = 4:@0.770080:0.439564:0.858072:0.439564:0.858072:0.423130:0.770080:0.423130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.817700:0.439564:0.825155:0.439564:0.825155:0.423158:0.817700:0.423158:0.000000 2:@0.825088:0.442736:0.830324:0.442736:0.830324:0.433155:0.825088:0.433155:0.000000 f. :@0.545774:0.482248:0.557113:0.482248:0.557113:0.465814:0.545774:0.465814:0.000000:0.000000:0.000000 4 – 12 + 9 = 0; :@0.575976:0.482248:0.699920:0.482248:0.699920:0.465814:0.575976:0.465814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.584885:0.482248:0.592340:0.482248:0.592340:0.465842:0.584885:0.465842:0.000000 2 :@0.592266:0.476184:0.599810:0.476184:0.599810:0.466603:0.592266:0.466603:0.000000:0.000000 x :@0.630628:0.482248:0.641323:0.482248:0.641323:0.465842:0.630628:0.465842:0.000000:0.000000 27. Construye y escribe las ecuaciones de segundo :@0.514231:0.527479:0.930933:0.527479:0.930933:0.510810:0.514231:0.510810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 grado dadas sus raíces en cada literal.:@0.544355:0.544121:0.827118:0.544121:0.827118:0.527452:0.544355:0.527452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.545774:0.568983:0.561218:0.568983:0.561218:0.552549:0.545774:0.552549:0.000000:0.000000:0.000000 x:@0.575976:0.568983:0.583430:0.568983:0.583430:0.552577:0.575976:0.552577:0.000000 1:@0.583365:0.572155:0.588602:0.572155:0.588602:0.562574:0.583365:0.562574:0.000000 = 3 y = –4:@0.588554:0.568983:0.689572:0.568983:0.689572:0.552549:0.588554:0.552549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.640076:0.568983:0.647531:0.568983:0.647531:0.552577:0.640076:0.552577:0.000000 2:@0.647458:0.572155:0.652694:0.572155:0.652694:0.562574:0.647458:0.562574:0.000000 b. :@0.545774:0.599919:0.562672:0.599919:0.562672:0.583485:0.545774:0.583485:0.000000:0.000000:0.000000 x:@0.575976:0.599919:0.583430:0.599919:0.583430:0.583513:0.575976:0.583513:0.000000 1:@0.583365:0.603092:0.588602:0.603092:0.588602:0.593511:0.583365:0.593511:0.000000 = –3 y = 5:@0.588554:0.599919:0.689565:0.599919:0.689565:0.583485:0.588554:0.583485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.649188:0.599919:0.656643:0.599919:0.656643:0.583513:0.649188:0.583513:0.000000 2:@0.656581:0.603092:0.661818:0.603092:0.661818:0.593511:0.656581:0.593511:0.000000 c. :@0.545774:0.630857:0.560850:0.630857:0.560850:0.614423:0.545774:0.614423:0.000000:0.000000:0.000000 x:@0.575976:0.630857:0.583430:0.630857:0.583430:0.614451:0.575976:0.614451:0.000000 1:@0.583365:0.634029:0.588602:0.634029:0.588602:0.624448:0.583365:0.624448:0.000000 = 10 y = 12:@0.588554:0.630857:0.698253:0.630857:0.698253:0.614423:0.588554:0.614423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.648967:0.630857:0.656422:0.630857:0.656422:0.614451:0.648967:0.614451:0.000000 2:@0.656360:0.634029:0.661597:0.634029:0.661597:0.624448:0.656360:0.624448:0.000000 d. :@0.545774:0.661793:0.562654:0.661793:0.562654:0.645359:0.545774:0.645359:0.000000:0.000000:0.000000 x:@0.575976:0.661793:0.583430:0.661793:0.583430:0.645387:0.575976:0.645387:0.000000 1:@0.583365:0.664965:0.588602:0.664965:0.588602:0.655384:0.583365:0.655384:0.000000 = – y = + :@0.588554:0.661793:0.736972:0.661793:0.736972:0.645359:0.588554:0.645359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m n:@0.607348:0.661793:0.648415:0.661793:0.648415:0.645387:0.607348:0.645387:0.000000:0.000000:0.000000 x:@0.672160:0.661793:0.679615:0.661793:0.679615:0.645387:0.672160:0.645387:0.000000 2:@0.679560:0.664965:0.684797:0.664965:0.684797:0.655384:0.679560:0.655384:0.000000 m:@0.703544:0.661793:0.718160:0.661793:0.718160:0.645387:0.703544:0.645387:0.000000 n:@0.736880:0.661793:0.746378:0.661793:0.746378:0.645387:0.736880:0.645387:0.000000 e. :@0.545774:0.700298:0.561586:0.700298:0.561586:0.683865:0.545774:0.683865:0.000000:0.000000:0.000000 28. Determina el valor de k en las ecuaciones para que :@0.514231:0.741956:0.931036:0.741956:0.931036:0.725286:0.514231:0.725286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cada una tenga dos soluciones iguales.:@0.544355:0.758598:0.838437:0.758598:0.838437:0.741928:0.544355:0.741928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.545774:0.784720:0.561218:0.784720:0.561218:0.768287:0.545774:0.768287:0.000000:0.000000:0.000000 b. :@0.545774:0.823812:0.562672:0.823812:0.562672:0.807379:0.545774:0.807379:0.000000:0.000000:0.000000 c. :@0.545774:0.863158:0.560850:0.863158:0.560850:0.846724:0.545774:0.846724:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000