The complex numbers $z$ and $w$ satisfy $|z| = |w| = 1$ and $zw \ne -1.$

(Prove that $\overline{z} = \frac{1}{z}$ and $\overline{w} = \frac{1}{w}.$

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05-04-2021
Mathematics

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The complex numbers $z$ and $w$ satisfy $|z| = |w| = 1$ and $zw \ne -1.$

(Prove that $\overline{z} = \frac{1}{z}$ and $\overline{w} = \frac{1}{w}.$

Sagot :

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