4 Nov
2014
4 Nov
'14
7:48 p.m.
On 11/4/2014 9:18 PM, David Wilson wrote:
a^2 - b^2 = c^2 - d^2 = e^2 - f^2
a^2 + b^2 = c^2 + f^2 = e^2 + d^2
Any solutions in nonzero integers?
For any nonzero N, you could take a = b = c = d = e = f = N. A little more interesting: If X, Y, Z are integers whose squares are in arithmetic progression (such as X = 1, Y = 5, Z = 7), then a = b = Y, c = d = Z, e = f = X will work. -- Fred W. Helenius fredh@ix.netcom.com