Question

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

Answer 1

Answer:

x = 11

Step-by-step explanation:

(x+5)2 = 32

2x + 10 = 32

2x = 32 - 10

2x = 22

x = 11

Answer 2

Answer:

x = - 5 ± 4$\sqrt{2}$

Step-by-step explanation:

Given

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

x + 5 = ± $\sqrt{32}$ = ± 4$\sqrt{2}$ ( subtract 5 from both sides )

x = - 5 ± 4$\sqrt{2}$ , then

x = - 5 - 4$\sqrt{2}$ , x = - 5 + 4$\sqrt{2}$