Solutions to diophantine equation $m^2-12mn-3m+2=0$

Question

I am trying to find all solutions to the relativly simple diophantine equation $m^2-12mn-3m+2=0$. I suspect that the only solutions are $n=0$, $m=1$ and $n=0$, $m=2$, but I am currently unable to show this. Any help is appreciated.

Henrik.

Hint: Notice that $m$ must be a divisor of $2$ (you might need to rearrange the equation to see that) — Geoff Robinson, Jun 22 '14 at 12:26

score 5 · Accepted Answer · answered Jun 22 '14 at 12:25

5

Hint: $m^2-12mn-3m=-2$ leaves limited options for $m$.

answered Jun 22 '14 at 12:25

Mark Bennet

100,194

Solutions to diophantine equation $m^2-12mn-3m+2=0$

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