Question

Please help! Show your work, I don't understand!

Solve by first square rooting each side of the equation.
(2x + 2)2 = 36

{2, –4}

{2, –4}

{–3, 2}

{–3, 2}

{3, –2}

{3, –2}

{4, –2}

Answer 1

x = -4, 2

Explanation:

(2x + 2)² = 36

Remember that the square root of 36 has a positive and a negative root.

(2x + 2) = ±6

2x + 2 = -6 2x + 2 = 6

2x = -8 2x = 4

x = -4 x = 2

Therefore, the solution(s) of the equation are x = -4, 2