Are there any non zero real triplet(s) (p, q, r) that satisfy the following system of equations?

p + 1/p = q, q + 1/q = r, and r + 1/r = p

If such triplet(s) exist, find at least one of these. Otherwise, prove that no such triplet can conform to the given conditions.

(In reply to solution by Charlie)

Thanks Charlie.

I confirm having hyperlinked your methodology in my solution.

Posted by K Sengupta on 2008-05-05 14:43:15