Back again,

After alexmahone's and CaptainBlack's excellent work on a previous problem

http://www.mathhelpforum.com/math-he...tml#post678257

I've worked myself into another corner.

Tackling this equation

with the same method as the previous post, this time using and as factors of , I ended up with the result I was expecting but hoping against.

I want results other that the trivial and

I don't think that and can be positive integers and satisfy this equation, but , and certainly can.

When , , , and then

with

I tried using the quadratic formula, solving first for , then substituting this value back in and solving for .

This only led to

Not much help then.

I've tried different ways for getting the difference of squares

i.e.

to get

but these lead to incorrect results.

How can I calculate the relationship between p, q, r and s?

Thanks

Pro