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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.

 Mar 27, 2020
 #1
avatar+23541 
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This has been answered multiple times in the last few months  ....do a search for it for the methodology and answers....

 Mar 27, 2020
 #2
avatar+278 
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Taking the fourth root of both sides with some simple algebra gets \(-1-i, -1+i, 1-i, 1+i.\)

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 Mar 27, 2020

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