Precalculus Examples

$5 y^{2} - 4 x^{2} = 20$

Step 1

Divide each term by $20$ to make the right side equal to one.

$\frac{5 y^{2}}{20} - \frac{4 x^{2}}{20} = \frac{20}{20}$

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 $1$ .

$\frac{y^{2}}{4} - \frac{x^{2}}{5} = 1$