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Ecuaciones de segundo grado

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Ecuaciones de segundo grado

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Quiz sobre ecuaciones cuadráticas

Created by

Haza Velázquez
Haza Velázquez
Mexico

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Ecuaciones de segundo grado
 

Ecuaciones de segundo gradoOnline version

Quiz sobre ecuaciones cuadráticas

by Haza Velázquez
1

¿Qué forma general tiene una ecuación de segundo grado?

2

Si a = 1, b = -3 y c = 2, ¿cuál es la ecuación?

3

¿Qué indica el discriminante Δ = b^2 - 4ac?

4

¿Cuántas soluciones reales tiene x^2 - 4 = 0?

5

¿Cuál es la fórmula para encontrar las soluciones de ax^2+bx+c=0?

6

¿Qué método resuelve fácilmente una ecuación cuadrática si c = 0?

7

Completar el cuadrado de x^2 + 4x - 5 = 0 da como resultado:

8

¿Qué significa que Δ > 0 en ax^2+bx+c=0?

9

Si la ecuación tiene a = 2, b = 0, c = -8, ¿cuál es Δ?

10

Si una ecuación cuadrática tiene Δ = 0, ¿qué dice sobre sus raíces?

Explicación

La forma general es ax^2 + bx + c = 0, con a ≠ 0.

Se sustituyen en ax^2+bx+c: 1·x^2 + (-3)·x + 2 = x^2 - 3x + 2.

Δ determina cuántas soluciones reales tiene la ecuación: 0, 1 o 2.

Resuelves: x^2 = 4, x = ±2, dos soluciones.

La fórmula cuadrática es esa, con Δ = b^2 - 4ac.

Si c=0, la ecuación se factoriza como x(ax+b)=0.

x^2+4x = (x+2)^2 - 4; luego restas -5.

Con Δ>0 hay dos soluciones reales distintas.

Δ = b^2 - 4ac = 0^2 - 4(2)(-8) = 64.

Δ = 0 implica una única solución real repetida.

 
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