Positive integers a and b are such that (15a+16b) and (16a-15b) are perfect squares. Find the least possible value of the smaller of these two squares.

(In reply to Solution by xdog)

xdog:  The smaller square in your solution is smaller than the smaller square in Paolo's solution.  I think we need an explanation.  He lost me with all that "r congr 0 and s congr 0" talk.  Is "0" a valid perfect square, or not?

Posted by Mindy Rodriguez on 2005-11-14 21:57:46