Use the square root property of equality to solve(x – 3)2 = –4.The solutions are –1 or 71 or 53 ± 2i3 ± 4i.

Take the square root of both sides: x − 3 = ±√(−4) = ±2i, since i² = −1. Add 3 to both sides to get x = 3 ± 2i. Therefore, the correct choice is 3 ± 2i.

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