Precalculus Examples

$25 x^{2} + 9 y^{2} = 225$

Step 1

Divide each term by $225$ to make the right side equal to one.

$\frac{25 x^{2}}{225} + \frac{9 y^{2}}{225} = \frac{225}{225}$

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 $1$ .

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