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Mathematics, 08.06.2021 05:00 Arealbot

The complex numbers $z_1$ and $z_2$ are such that $|z_1| = 5,$ $|z_2| = 13,$ and \[13z_1 - 5z_2 = 27 - 99i.\]Find $z_1 z_2.$

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The complex numbers $z_1$ and $z_2$ are such that $|z_1| = 5,$ $|z_2| = 13,$ and \[13z_1 - 5z_2 = 2...
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