Precalculus Examples

$25 x^{2} + 4 y^{2} = 100$

Divide each term by $100$ to make the right side equal to one.

$\frac{25 x^{2}}{100} + \frac{4 y^{2}}{100} = \frac{100}{100}$

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 $1$ .

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