I can't remember complex roots. Can someone please refresh my memory and help me with the following?
What are the solutions to the equation $z^4=-25$?
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Polar form${}$? – Angina Seng Apr 24 '18 at 05:49
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1Possible duplicate of Complex numbers equation: $z^4 = -16$ – Hans Lundmark Apr 24 '18 at 06:26
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$$z^4=-25=5^2e^{(2m+1)\pi i}$$ where $m$ is any integer
$$\implies z=\sqrt5 e^{(2m+1)\pi i/4}$$ where $m\equiv0,1,2,3\pmod4$
lab bhattacharjee
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