Answer:
x = - 15 , x = - 5
Step-by-step explanation:
given the quadratic equation
(x + 10)² - 14 = 11 ( add 14 to both sides )
(x + 10)² = 25 ( take square root of both sides )
[tex]\sqrt{(x+10)^2}[/tex] = ± [tex]\sqrt{25}[/tex] , that is
x + 10 = ± 5 ( subtract 10 from both sides )
x = - 10 ± 5
Then
x = - 10 - 5 = - 15
x = - 10 + 5 = - 5
The solutions are x = - 15 , x = - 5
