let be a 2 dimensional symmetryc form:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] z=f(x,y)=ax^{2}+bxy+cy^{2} [/tex]

depending on the values of a,b and c we'll have an elipse , parabole and hyperbola or circumference,my question is are there any geommetrical methods to find integer points (x,y) satisfying the equation z=constant ??

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# Finding integer points

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