Question

resolver "x" en la siguiente ecuación:
(2x-1)²+1=26​

Answer 1

Respuesta:

$x = 3 \\ x = - 2$

Explicación paso a paso:

$( {2x - 1)}^{2} + 1 = 26 \\ 4 {x }^{2} - 4x + 1 + 1 = 26 \\ 4 {x}^{2} - 4x + 2 = 26 \\ 4 {x}^{2} - 4x = 26 - 2 \\ 4 {x}^{2} - 4x = 24 \\ \frac{4 {x}^{2} }{4} - \frac{4x}{4} = \frac{24}{4} \\ {x}^{2} - x = 6 \\ {x}^{2} - x - 6 = 0 \\ (x - 3)(x + 2) = 0 \\ x = 3 \\ x = - 2$