Mathematics, 28.02.2021 23:10 youngdelvin123
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The complex numbers $z$ and $w$ satisfy $|z| = |w| = 1$ and $zw \ne -1.$
(a) Prove that $\overline{z} = \frac{1}{z}$ and $\overline{w} = \frac{1}{w}.$
(b) Prove that $\frac{z + w}{zw + 1}$ is a real number.
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