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**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.