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Quiz de Ecuaciones Cuadráticas

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Quiz de Ecuaciones Cuadráticas

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Test de cuadráticas

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ZULEMA DE LOS ANGELES COYAGO QUITO
ZULEMA DE LOS ANGELES COYAGO QUITO
Ecuador

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Quiz de Ecuaciones Cuadráticas
 

Quiz de Ecuaciones CuadráticasOnline version

Test de cuadráticas

by ZULEMA DE LOS ANGELES COYAGO QUITO
1

Resuelve: x² - 5x + 6 = 0.

2

Resuelve: x² - 4 = 0.

3

Resuelve: x² + x - 6 = 0 usando la fórmula.

4

Discriminante nulo: cuántas raíces reales tiene?

5

Identifica el vértice de y = 2(x-3)² - 5.

6

Completa: x²+ 4x - 5 = 0 → (x+2)² - 9 = 0. ¿Qué raíces obtiene?

7

La ecuación 2x²- 3x - 2 = 0 tiene la suma de raíces igual a:

8

Para ax²+bx+c=0, ¿cuál es el producto de las raíces?

9

Resuelve: x²- x - 6 = 0 mediante factorización.

10

Qué describe la parábola de una ecuación cuadrática con a>0?

Explicación

La factorización (x-2)(x-3)=0 da las raíces 2 y 3.

x² = 4 implica x = ±2.

La solución (−b±√Δ)/2a da 2 y −3.

Con Δ = 0 hay una única raíz real doble.

Para y = a(x-h)^2 + k, el vértice es (h,k).

(x+2)²=9 da x=-2±3 → 1 y -5.

Para ax²+bx+c=0, la suma es -b/a = 3/2.

El producto es c/a; por ejemplo en x² - x - 6, producto es -6.

Factores (x-3)(x+2)=0 → raíces 3 y -2.

Si a>0, la parábola abre hacia arriba.

 
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