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Desigualdades cuadráticas

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Desigualdades cuadráticas

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Quiz de desigualdades cuadráticas

Created by

ROLANDO COLAJ
ROLANDO COLAJ
Guatemala

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Desigualdades cuadráticas
 

Desigualdades cuadráticasOnline version

Quiz de desigualdades cuadráticas

by ROLANDO COLAJ
1

¿Cuál es la solución de la desigualdad x^2 - 5x + 6 < 0?

2

Si x^2 - 4 ≥ 0, ¿qué valores de x cumplen?

3

Desigualdad x^2 + x - 6 > 0, ¿cuáles son los intervalos solución?

4

resolver x^2 - 2x - 3 ≤ 0

5

Desigualdad (x-1)(x+4) < 0, ¿en qué rango está?

6

Si x^2 + 4x + 5 < 0, ¿qué valores existen?

7

Desigualdad (x-√2)^2 > 0, ¿qué valores satisfacen?

8

Solución de x^2 ≤ 9

9

Desigualdad 3x^2 - 12x < 0, ¿qué valores de x?

10

Desigualdad (x-2)^2 ≤ 0, ¿cuál es la solución?

Explicación

La parábola abre hacia arriba y cruza en 2 y 3; el tramo entre las raíces es donde la expresión es negativa.

La expresión es mayor o igual a cero fuera del intervalo (-2,2).

Factoriza como (x+3)(x-2) y busca donde es positivo.

Factor: (x-3)(x+1) ≤ 0; solución entre las raíces.

Producto negativo entre las raíces -4 y 1.

Discriminante negativo; parábola siempre positiva.

Un cuadrado es siempre ≥0; solo es 0 en x=√2.

Raíces ±3; la región entre ellas inclusive.

Factor: 3x(x-4) < 0; intervalo entre 0 y 4.

Un cuadrado sólo es 0 en x=2.

 
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