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

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

Postby Chasyesker on Thu Nov 14, 2013 1:26 am

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.
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Postby stapel_eliz on Thu Nov 14, 2013 2:21 am

Chasyesker wrote: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. :wink:
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Re: Difference two squares: pos. integer solns of x^2-y^2=12

Postby Chasyesker on Thu Nov 14, 2013 2:36 am

Thanks we got 3 out of the four. What are the sons.
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Re: Difference two squares: pos. integer solns of x^2-y^2=12

Postby stapel_eliz on Thu Nov 14, 2013 12:38 pm

Chasyesker wrote:Thanks we got 3 out of the four.

Which one (from the link) had you missed?

Chasyesker wrote:What are the sons.

Um... what? :confused:
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