Question

What are the solutions to the equation (x+5)2=32 ?

Answer 1

x = - 5 ± 4
`√(2)`

Explanation:

Given

(x + 5)² = 32 ( take the square root of both sides )

x + 5 = ±
`√(32)` = ± 4
`√(2)` ( subtract 5 from both sides )

x = - 5 ± 4
`√(2)` , then

x = - 5 - 4
`√(2)` , x = - 5 + 4
`√(2)`

Answer 2

x = 11

Explanation:

(x+5)2 = 32

2x + 10 = 32

2x = 32 - 10

2x = 22

x = 11