Question

(x+ 6)² = (2x – 2)² + (x – 2)²

Answer 1

Respuesta:

x1= -1 , x2= 7

Explicación paso a paso:

(x+6)²= 2× -2)² + (x - 2)²

x² + 12x + 36 = 4x² - 8x + 4 + x² - 4x + 4

12x + 36 = 4x² - 8x + 4 - 4x +4

12x + 36 = 4x² - 12x + 8

12x + 36 - 4x² + 12x - 8 = 0

24 + 28 - 4x² = 0

6 x +7 - x² = 0

-6x -7 + x² =0

x² - 6x - 7 = 0

x² + x - 7 x - 7 = 0

x × (x + 1) - 7 ( x + 1) = 0

( x + 1) × (x - 7) = 0

x + 1 = 0

x - 7 = 0