Problem of the Week 1094
Relatively Prime Integers
Let a, b and c be integers with no factor in common to all three such that
Prove that (a + b), (a - c) and (b - c) are all perfect squares.
Source: School Science and Mathematics 63, October 1963, p. 604.
© Copyright 2008 Andrew Beveridge and Stan Wagon. Reproduced with permission.