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

 Dec 27, 2020
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Find all complex numbers z such that z^4 = 4.

Since it is a power of 4, there will be 4 solutions.

 

one of those solutions will be  \(\pm \sqrt[4]{ 4}=\pm \sqrt{2}\)

 

the other 2 will be   \(\pm \sqrt[4]{ 4}i=\pm \sqrt{2}\;i\)

 

 Dec 28, 2020

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