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This is a hyperbola. It is best approached using Fermat's factorisation method. See

fermat-s-factorization-method

or Google wikepedia. I don't know of any faster approach.

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Q: If you have n plus 12 bracketed squared equals 161 plus M squared where n and m are integers and eg n equals 3 m equals 8 is there a method other than direct factorization to solve for n and m?
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