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Ecuaciones con radicales: ¿Verdadero o Falso?

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Ritmo de radicales y ecuaciones

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Ecuaciones con radicales: ¿Verdadero o Falso?
 

Ecuaciones con radicales: ¿Verdadero o Falso?Online version

Ritmo de radicales y ecuaciones

by Benjamin Mejia
1

En √(x-1) = 3 se obtiene x = 10.

2

Cuando se elevan al quadrado ambos lados, se obtienen todas las soluciones de la ecuación original.

3

La solución de √(x-4) = 2 es x = 6.

4

Si √(2x+3) = √(x+3), entonces x = 3.

5

El dominio de √(x-7) es x > 7.

6

Extraneous roots pueden aparecer tras elevar al cuadrado una ecuación radical.

7

Si se tiene √(2x+3) = √(x+9) se puede elevar al cuadrado y obtener 2x+3 = x+9, luego x = 6.

8

El dominio de √(x+5) exige x ≥ -5.

9

Si √(x+1) = x, todas las soluciones se obtienen sin necesidad de verificar.

10

Al resolver √(x+4) = x, al elevar al cuadrado se obtiene x+4 = x^2 y luego se verifica en la original.

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