# What type of conic section has the equation 4x^2-y^2=16?

Sep 28, 2014

This is a hyperbola.

Divide each term by 16

$\frac{4 {x}^{2}}{16} - {y}^{2} / 16 = \frac{16}{16}$

Simplify

${x}^{2} / 4 - {y}^{2} / 16 = 1$