Question

(x+5)²=32
find the solution
justify answer ​

Answer 1

x = -5 ±4sqrt(2)

Explanation:

(x+5)²=32

Take the square root of each side

Sqrt((x+5)²)=±sqrt(32)

x+5 = ±sqrt(16*2)

x+5 = ±4sqrt(2)

Subtract 5 from each side

x+5-5 = -5 ±4sqrt(2)

x = -5 ±4sqrt(2)