u, v, w and x are 4 positive integers: x > w > v > u > 0

u+v, u+w, u+x, v+w, v+x and w+x are all squares.

BONUS: u+v+w+x is also a square...you're welcome.

I'll give you u+v = 5184

Armed with that knowledge, go find u,v,w,x.

Yes, computer help allowed.

Geesh...almost forgot about this one....hint:

Let a^2 = u+v, f^2 = w+x, g^2 = u+v+w+x.
OK; since g^2 = u+v + w+x, then g^2 = a^2 + f^2 :
a right triangle with legs 72 and f, hypotenuse g.

So that greatly reduces "the search".

Time's up, I guess...