## Difference two squares: pos. integer solns of x^2-y^2=120

Sequences, counting (including probability), logic and truth tables, algorithms, number theory, set theory, etc.
Chasyesker
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### Difference two squares: pos. integer solns of x^2-y^2=120

Looking for a way to find all positive integers of x^2-y^2=120. Found some by trial and error but don't know how to find them all.

stapel_eliz
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Looking for a way to find all positive integers of x^2-y^2=120. Found some by trial and error but don't know how to find them all.
There is a method for this sort of Diophantine equation. You can read a paper on the method here.

It appears that there are four solution pairs.

Chasyesker
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Joined: Wed Sep 25, 2013 7:04 pm
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### Re: Difference two squares: pos. integer solns of x^2-y^2=12

Thanks we got 3 out of the four. What are the sons.

stapel_eliz
Posts: 1628
Joined: Mon Dec 08, 2008 4:22 pm
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### Re: Difference two squares: pos. integer solns of x^2-y^2=12

Thanks we got 3 out of the four.