Question

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

Answer 1

`Ax^2+Bxy+Cy^2+Dx+Ey+F=0`

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

`A=4`
`C=-25`

`A*C<0`
`4*(-25)<0`

This is a hyperbola .