Integer solutions for hyperbola
Hi,
Is it possible to determine algebraically whether a hyperbola can have integer solutions for x and y?
i.e.
\(\displaystyle y^2=5x^2+20\) has integer solutions at
and many more (infinite ?)
However, I can't find any integer solutions for \(\displaystyle y^2=5x^2+45\)
Thanks
Hi,
Is it possible to determine algebraically whether a hyperbola can have integer solutions for x and y?
i.e.
\(\displaystyle y^2=5x^2+20\) has integer solutions at
x | y |
11 | 25 |
29 | 65 |
199 | 445 |
and many more (infinite ?)
However, I can't find any integer solutions for \(\displaystyle y^2=5x^2+45\)
Thanks
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