Find three positive rational numbers such that their sum is a square, and the sum of any pair exceeds the third by a square.
Classical Rules: Let a "square" be any number that is the square of a rational number.
The set (18, 32, 50) also works. This is twice the value of three different squares. Still not finding something that describes all sets . . .
Posted by Leming
on 2006-04-17 13:20:03