solve the equation z^3+64=0, giving your answer in exponential form
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Originally Posted by cxz7410123 solve the equation z^3+64=0, giving your answer in exponential form Let $\displaystyle \rho = 4\exp \left( {\frac{{\pi i}}{3}} \right)$ and $\displaystyle \eta = \exp \left( {\frac{{2\pi i}}{3}} \right)$. Your roots are $\displaystyle \rho\cdot \eta^k$ where $\displaystyle k=0,~1,~2$.
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