What type of conic section has the equation 4x^2 - 25y^2 - 50y - 125= 0?

Sep 28, 2014

$A {x}^{2} + B x y + C {y}^{2} + D x + E y + F = 0$

We need the coefficients $A$ and $C$ to make a determination.

$A = 4$
$C = - 25$

$A \cdot C < 0$
$4 \cdot \left(- 25\right) < 0$

This is a hyperbola .