- #1

- 19

- 0

## Homework Statement

Are there any positive integers n, a and b such that

[tex]96n+88=a^2+b^2[/tex]

## Homework Equations

## The Attempt at a Solution

It resembles the Pythagorean theorem but I'm not sure how that would help me solve it. I factored the LHS

[tex]2^3((2^2)(3)n+11)=a^2+b^2[/tex]

How do I proceed? Thanks.