Question

Solve the equation for x.

the square root of the quantity x minus 8 end quantity plus 2 equals 7

A. x=1
B. x=13
C. x=17
D. 33

Answer 1

D. 33

EXPLANATION

The given radical equation is

`√(x - 8) + 2 = 7`

Group similar terms,

`√(x - 8) = 7 - 2`

`√(x - 8) = 5`

Square both sides:

`{(√(x - 8))}^(2) = {5}^(2)`

Simplify

`x - 8 = 25`

Solve for x

`x = 25 + 8 = 3`

Answer 2

D. 33

Explanation:

√(x-8) + 2 = 7

subtract 2 from both sides

√(x-8) = 5

square both sides

(√(x-8))² = 5²

x-8 = 25

add 8 to both sides

x = 33