Use the square root property of equality to solve(x – 3)2 = –4.The solutions are .

Take the square root of both sides: x − 3 = ±√(−4) = ±2i, since i² = −1. Add 3 to both sides to get x = 3 ± 2i, so the solutions are 3 + 2i and 3 − 2i; this matches choice C.

AI-written and checked against the verified answer.