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\(\text{Let }x,y,\text{and }z \text{ be distinct, nonzero real numbers such that } x + \frac{1}{y} = y + \frac{1}{z} = z + \frac{1}{x}. \text{Find all possible values of } xyz.\)

 Nov 17, 2019
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Please do not discuss this problem!  This is an active homework problem.

 

To the original poster: I realize that homework may be challenging. If you wish to receive some help from the staff or other students, I encourage you to use the resources that the online classes provide, such as the Message Board.  Thanks.

 Nov 17, 2019

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