Determine all possible triplet(s) (p, q, r) of positive real numbers, with p ≤ q ≤ r, that satisfy the following system of equations:

p*q + q*r + p*r = 12 , and:
p*q*r = p + q + r + 2

I know the problem asks for a positive solution, but here's a negative one:   (-5.5, -1, -1)

Posted by Steve Herman on 2010-09-14 22:44:56