A=2 is a solution:

Let A = 2Then (x^2+2x)^2+(2x+2)^2 = y^2Let y=((x+1)^2+1)Then (x^2+2x)^2+(2x+2)^2 = ((x+1)^2+1)^2, true for all x.

A=2 is the only solution:

Now let x = 3, say, then 25A^2 - y^2 + 54A + 81 = 0 has only the solution A=2 in the positive integers.

Edited on October 14, 2016, 8:53 am

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