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Mathematics, 02.03.2021 16:20 delaneynagle3368

SOMEONE PLEASE HELP! IVE BEEN ASKING FOR DAYS AND ITS DUE TODAY. Please provide a step by step explanation. Thank you.

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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