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Mathematics, 21.08.2019 22:20 carinaorcutt
Let $\omega$ be a complex number such that $\omega^5 = 1$ and $\omega \neq 1$. find \[\frac{\omega}{1 + \omega^2} + \frac{\omega^2}{1 + \omega^4} + \frac{\omega^3}{1 + \omega} + \frac{\omega^4}{1 + \omega^3}.\]
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Let $\omega$ be a complex number such that $\omega^5 = 1$ and $\omega \neq 1$. find \[\frac{\omega}{...
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