Question

Solve the following quadratic equation using square roots. Write your answer in set notation. (x+27)2/−6 =−24

Answer 1

Assume the equation is (x + 27)^2 / (-6) = -24.

Multiply both sides by -6:
(x + 27)^2 = 144.

Take square roots:
x + 27 = ±12.

So x = -27 ± 12, giving x = -15 or x = -39.

Answer: { -15, -39 }