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Popular >

2x^2sqrt(x-2)=sqrt(x-2)

Solución

2 x^{2} x - 2 = x - 2

Solución

x = 2, x = - \frac{1}{2}, x = \frac{1}{2}

+1

Notación decimal

x = 2, x = - 0.70710 \dots, x = 0.70710 \dots

Pasos de solución

2 x^{2} x - 2 = x - 2

Mover

x - 2

al lado izquierdo

2 x^{2} x - 2 - x - 2 = 0

Factorizar

2 x^{2} x - 2 - x - 2 : x - 2 (2 x + 1) (2 x - 1)

x - 2 (2 x + 1) (2 x - 1) = 0

Utilizando el teorema de factor cero: si

ab = 0

entonces

a = 0

o

b = 0

x - 2 = 0 or 2 x + 1 = 0 or 2 x - 1 = 0

Resolver

x - 2 = 0 : x = 2

Resolver

2 x + 1 = 0 : x = - \frac{1}{2}

Resolver

2 x - 1 = 0 : x = \frac{1}{2}

x = 2, x = - \frac{1}{2}, x = \frac{1}{2}

Verificar las soluciones:

x = 2

Verdadero

, x = - \frac{1}{2}

Verdadero

, x = \frac{1}{2}

Verdadero

Las soluciones son

x = 2, x = - \frac{1}{2}, x = \frac{1}{2}

Ejemplos populares

5 2 x - 4 = 6

D = 53 Q^{0.18}

\frac{2 x}{5} = 4

x - 3 = 13

solvefor x,\sqrt[-4]{x-3}=-12 resolver para