Precalculus Examples

$81 x^{2} - 36 y^{2} = 2916$

Step 1

Divide each term by $2916$ to make the right side equal to one.

$\frac{81 x^{2}}{2916} - \frac{36 y^{2}}{2916} = \frac{2916}{2916}$

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 $1$ .

$\frac{x^{2}}{36} - \frac{y^{2}}{81} = 1$