# Math Help - integer solutions

1. ## integer solutions

what r the integer solutions( if any) to this equation
$x^2-18y^2=12$

2. Originally Posted by islam
what r the integer solutions( if any) to this equation
$x^2-18y^2=12$
Show that $x^2$, and hence also $x$, is a multiple of 3, say $x=3z$. Then $3z^2-6y^2 = 4$. But the left side is a multiple of 3 and the right side is not ... .

3. Simple and beautiful solution Oplag .
By the way , it's a Pell-Fermat equation . ( well , i mean in general x²-ny²=m , where n isn't a perfect square)