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

 Sep 18, 2020

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