Answer:
2
Explanation:
You want to know the number of solutions to the equation (x -1)² = -4.
Quadratic
Every quadratic equation has two solutions. They may be identical (looks like one solution), or they may be complex (not real). This quadratic has two complex solutions:
x = 1 ± 2i
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Additional comment
Taking the square root gives ...
x -1 = ±2i
Adding 1 gives the two solutions:
x = 1 +2i; x = 1 -2i
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