# Math Help - Parametric Equation Problem

1. ## Parametric Equation Problem

x^2-6xy+10y^2=4

find all the integer pairs of x and y which satisfiy the equation.

Thanks!

2. ## Re: Parametric Equation Problem

You can solve for x and then choose y values that give integer values of x.

3. ## Re: Parametric Equation Problem

Originally Posted by Telo
x^2-6xy+10y^2=4

find all the integer pairs of x and y which satisfiy the equation.

Thanks!
$x^2 - 6xy + 10y^2 - 4 = 0$

$a = 1$ , $b = -6y$ , $c = 10y^2 - 4$

the quadratic formula yields ...

$x = 3y \pm \sqrt{4 - y^2}$

since x is an integer value, the value under the radical must be a positive, perfect square value ... finish it.