Precalculus Examples

$9 x^{2} - 4 y^{2} = 36$

Step 1

Divide each term by $36$ to make the right side equal to one.

$\frac{9 x^{2}}{36} - \frac{4 y^{2}}{36} = \frac{36}{36}$

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 $1$ .

$\frac{x^{2}}{4} - \frac{y^{2}}{9} = 1$