Determine all possible quadruplets (A, B, P, Q) of positive integers, with P ≤ Q, that satisfy this system of equations:

A + B = 21, and:

A/P² + B/Q² = 1

Prove that these are the only quadruplets that exist.

(In reply to Possible solution by broll)

Broll:

Posted by Steve Herman on 2011-01-17 17:18:01