Find the standard form of the conic section $x^2-3x+4xy+y^2+21y-15=0$.
I understand the approach in trying to solve these problems. But the $4xy$ is confusing me. I am not sure of where to start on this one.
i have found a way of doing this with reference to Canonical form of conic section
$X = x+2y$
$x = X - 2Y$
Now we substitute:
so it is a hyperbola?