Question

2) Resuelva (x + 5)²-(x - 3)² = 5(2x + 2) ​

Answer 1

Respuesta:

x vale 1

Explicación paso a paso:

(x + 5)²-(x - 3)² = 5(2x + 2) ​

(x + 5) + (x + 5) - (x - 3) - (x - 3) = 5(2x + 2) ​

x(x + 5) + 5(x + 5) - x(x - 3) - 3(x - 3) = 5(2x + 2) ​

x² + 5x + 5x + 25 - x² - 3x - 3x - 9 = 5(2x + 2) ​

x² + 10x + 25 - x² - 6x - 9 = 5(2x + 2) ​

x² + 10x + 16- x² - 6x = 5(2x + 2) ​

10x + 16 - 6x = 5(2x + 2) ​

4x + 16 = 5(2x + 2) ​

4x + 16 = 10x + 10

16 - 10 = 10x - 4x       4x - 10x = 10 - 16

6 = 6x                        -6x = -6

1 = x                           x = 1