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How to Solve It (1945) is a small volume by mathematician George Pólya, describing methods of problem solving. This book has remained in print continually since 1945.
To solve math problems step-by-step start by reading the problem carefully and understand what you are being asked to find. Next, identify the relevant information, define the variables, and plan a strategy for solving the problem.
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You want to find the fourth roots of $-4$, namely $z=(-4)^{\frac{1}{4}}$. Here, $\theta=\pi$ and $r=|z|=4$. Hence, by De'Moivre we have $z=\sqrt{2}(\cos(\frac{\pi+2\pi k}{4})+i\sin(\frac{\pi+2\pi k}{4}))$ for $k=0,1,2,3$.
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