Solve the equation by extracting square roots x62 5 A6 5 B

Solve the equation by extracting square roots. (x+6)2 = 5

A,6 + 5

B.-6 ± 5

C.-6 -5

D.6 ± 5

E. -6 + 5

Solution

(x+6)^2 =5

take square root on both sides to isolate x:

(x+6) = +/- sqrt(5)

x = -6 + sqrt(5)

x = -6 - sqrt(5)

Option B : x = -6 +/- sqrt5