Question

(x + 4)² + (x + 1)² + 2x = (x + 6)² + (x -1)²​

Answer 1

Respuesta:

x=10

Explicación

(x + 4)² + (x + 1)² + 2x = (x + 6)² + (x -1)²

desarrolla los binomios:

${x}^{2} + 4x + 4x + 16 + {x}^{2} + x + x + 1 + 2x = {x}^{2} + 6x + 6x + 36 + {x}^{2} - x - x + 1$ Simplifica los términos:

$2 {x}^{2} + 12x + 17 = 2 {x}^{2} + 10x + 37$

Pasa los terminos

$2{x}^{2} - 2 {x}^{2} + 12x - 10x = 37 - 17$

simplifica

$2x = 20$

despeja

$x = \frac{20}{2}$

x=10

comprobación

(10+ 4)² + (10 + 1)² + 2x = (10+ 6)² + (10-1)²

337=337