Question

As raízes da equação (x + 5)² – 2 = 23

Answer 1

(x + 5)(x + 5) - 2 = 23
x² + 5x + 5x + 25 - 2 - 23 = 0
x² + 10x = 0
x(x + 10) = 0
x = 0 <<<<<<<<
x + 10 = 0
x = -10 <<<<<<<

Answer 2

(x + 5)² - 2 = 23

(x + 5)² = 23 + 2
(x + 5)² = 25
(x + 5) = √25
(x + 5) = 5
x = 5 - 5
x = 0

(x + 5) = - 5
x + 5 = - 5
x = - 5 - 5
x = - 10

R.: x = 0 ou x = - 10