Precalculus Examples

$100 y^{2} - 9 x^{2} = 25$

Step 1

Divide each term by $25$ to make the right side equal to one.

$\frac{100 y^{2}}{25} - \frac{9 x^{2}}{25} = \frac{25}{25}$

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 $1$ .

$\frac{y^{2}}{\frac{1}{4}} - \frac{x^{2}}{\frac{25}{9}} = 1$