Question

Resolver la ecuación:

(2x - 1)² = 8

Gracias :3

Answer 1

Respuesta:

(2x - 1)² = 8

Resolver

$2x-1=\sqrt{8}$

$\sqrt{8}=2\sqrt{2}$

$2x-1=2\sqrt{2}$

$2x=2\sqrt{2}+1$

$\frac{2x}{2}=\frac{2\sqrt{2}}{2}+\frac{1}{2}$

$\boxed{x=\frac{2\sqrt{2}+1}{2}}$

₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋

$2x-1=-\sqrt{8}$

$-\sqrt{8}=-2\sqrt{2}$

$2x-1=-2\sqrt{2}$

$2x=-2\sqrt{2}+1$

$\frac{2x}{2}=-\frac{2\sqrt{2}}{2}+\frac{1}{2}$

$\boxed{x=\frac{-2\sqrt{2}+1}{2}}$

Saludos...