Precalculus Examples

$9 x^{2} - 16 y^{2} = 144$

Step 1

Divide each term by $144$ to make the right side equal to one.

$\frac{9 x^{2}}{144} - \frac{16 y^{2}}{144} = \frac{144}{144}$

Step 2

Simplify each term in the equation in order to set the right side equal to $1$ . The standard form of an ellipse or hyperbola requires the right side of the equation be $1$ .

$\frac{x^{2}}{16} - \frac{y^{2}}{9} = 1$