Answer:
x ≈ - 10.65, x ≈ - 5.35
Step-by-step explanation:
Given
(x + 8)² - 7 = 0 ( add 7 to both sides )
(x + 8)² = 7 ( take the square root of both sides )
x + 8 = ± [tex]\sqrt{7}[/tex] ( subtract 8 from both sides )
x = - 8 ± [tex]\sqrt{7}[/tex] , thus
x = - 8 - [tex]\sqrt{7}[/tex] ≈ - 10.65
x = - 8 + [tex]\sqrt{7}[/tex] ≈ - 5.35
