Question

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

Answer 1

(x + 27)^2 - 6 = -24
=> (x + 27)^2 = -18
=> x + 27 = ±√(-18) = ±3i√2
=> x = -27 ± 3i√2

Answer: { -27 + 3i√2, -27 - 3i√2 }