Question

Solve the equation. Check for extraneous solutions.

(2x+12)^2/3-3=13

Answer 1

(2x+12)^2/3 = 16
(2x+12)^2 = 48
2x+12 = pm sqrt{48}
2x+12 = pm 4 sqrt{3}
2x = pm 4sqrt{3} - 12

x = ((pm 4sqrt{3})/2) - 6

I don't believe there are extraneous solutions here

Extraneous solutions would be values of x that if you put it back into the original equation, you don't get 16