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Let  x, y, and z be nonzero real numbers, such that no two are equal, and \(\[x + \frac{1}{y} = y + \frac{1}{z} = z + \frac{1}{x}.\]\)
Find all possible numeric values of xyz.

 Aug 8, 2022
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nvr mind , i misread the problem

 Aug 9, 2022
edited by Guest  Aug 9, 2022

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