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

Guest Nov 17, 2019

#1**-1 **

**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.

wonderman Nov 17, 2019