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Ecuaciones cuadráticas

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Ecuaciones cuadráticas

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Quiz sobre ecuaciones cuadráticas.

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Facundo Mane
Facundo Mane
Bolivia

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Ecuaciones cuadráticas
 

Ecuaciones cuadráticasOnline version

Quiz sobre ecuaciones cuadráticas.

by Facundo Mane
1

Resuelve x^2 - 5x + 6 = 0. ¿Qué pares de soluciones tiene?

2

¿Qué factorización da x^2 - 4x - 5?

3

Completa el cuadrado para x^2 + 6x + 5. ¿En forma de cuadrado perfecto?

4

Para x^2 - 4x + 7 = 0, cuántas soluciones reales tiene?

5

Usa la fórmula cuadrática para x^2 - x - 6 = 0. ¿Cuáles son las soluciones?

6

Convierte x^2 - 4x + 1 a forma de vértice. ¿Qué expresión resulta?

7

¿Cuál es el eje de simetría de y = x^2 - 6x + 8?

8

Si una ecuación cuadrática tiene D<0, ¿qué significa?

9

Una parábola con a < 0 abre hacia abajo. ¿Qué indica esto?

10

Solución de x^2 = 9. ¿Qué valores de x satisfacen la ecuación?

Explicación

La ecuación factoriza a (x-2)(x-3)=0, dando x=2 o x=3.

Multiplica para obtener x^2-4x-5; los factores correctos son (x-5)(x+1).

x^2+6x+9-4 = (x+3)^2-4.

Discriminante D = 16 - 28 = -12 < 0; no hay soluciones reales.

Aplicando x = [1 ± sqrt(1+24)]/2 da x=3 y x=-2.

Completar el cuadrado: x^2-4x+4-4+1=(x-2)^2-3.

Eje de simetría en x = -b/2a = 6/2 = 3.

D<0 implica dos soluciones complejas conjugadas; no hay reales.

Si a<0, la parábola se abre hacia abajo.

Raíces de una repeatedly: x = ±3.

 
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