SOLUTION: Find all solutions to the equation $(x - 1)^2 = -4$.

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Question 1172131: Find all solutions to the equation $(x - 1)^2 = -4$.
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
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First, take the square root of both sides.  You will get

    x - 1 = +/- 2i   


in the complex domain, where " i " is the imaginary unit.



Now add 1 to both sides to get the answer

    x = 1 +/- 2i.



ANSWER.  There are two complex roots in the complex domain, 1+2i and 1-2i.

Solved.