Let x, y, and z be nonzero real numbers, such that no two are equal, and x + 1/y = y + 1/z = z + 1/x. Find all possible numeric values of xyz.
You can isolate x, y, z to get that the possible values of xyz are -2, -1, 1, and 2.
Sorry, will you please explain how you got that? i want to be able to solve these problems again in the future.
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The answer given by guest is incorrect, as are all of the other responses to this question currently on this site.