1. The problem statement, all variables and given/known data Are there any positive integers n, a and b such that [tex]96n+88=a^2+b^2[/tex] 2. Relevant equations 3. 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.