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 values of \(xyz.\)
--------Thanks!
This will be true if x = y = z.
It says in the question that no two are equal
