Answer:
x = {-8 - √10, -8 + √10} exact answer
x = {-11.16, -4.84} decimal approximation
Step-by-step explanation:
2(x + 8)²+ 9 = 29
Subtract 9 from both sides
2(x + 8)² = 20
Divide both sides by 2
(x + 8)² = 10
Take the square root of both sides
x + 8 = ±√10
Subtract 8 from both sides
x = -8 ± √10
x = {-8 - √10, -8 + √10} exact answer
x = {-11.16, -4.84} decimal approximation
