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

Answer:

D. 33

Step-by-step 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

Answer 2

ANSWER

D. 33

EXPLANATION

The given radical equation is

$\sqrt{x - 8} + 2 = 7$

Group similar terms,

$\sqrt{x - 8} = 7 - 2$

$\sqrt{x - 8} = 5$

Square both sides:

${(\sqrt{x - 8})}^{2} = {5}^{2}$

Simplify

$x - 8 = 25$

Solve for x

$x = 25 + 8 = 3$