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Find all complex numbers z such that z^4=-4

Note: All solutions should be expressed in the form a + bi, where A and B are real numbers.
 

 Aug 18, 2022
 #1
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+1

z^4 = (z^2)^2

z^2 = pm sqrt(-4)

z^2 = +- 2i

z = sqrt(2i) or sqrt(-2i) or -sqrt(2i) or -sqrt(-2i)

I trust you can express it in a + bi. gl

 Sep 29, 2022

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