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# hii math help!

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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

Sep 18, 2020

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The set of possible values of xyz is -2, -1, 1, and 2.

Sep 18, 2020