Hi,

If it is known that is a perfect square

where A, B, C and D are integers, A and B are coprime, C and D are coprime and D > C >= B > A > 0

thenbe a perfect square..........(1)can

andbe a perfect square..........(2)can

but can it be proven that (1) and (2)be perfect squares simultaneously (or examples to the contrary) ?can't

Examples

A = 1, B = 2, C = 2, D = 11

is not a perfect square

A = 1, B = 2, C = 58, D = 209

is not a perfect square

thank you