Precalculus Examples

$25 x^{2} + 16 y^{2} - 400 = 0$

Step 1

Add $400$ to both sides of the equation.

$25 x^{2} + 16 y^{2} = 400$

Step 2

Divide each term by $400$ to make the right side equal to one.

$\frac{25 x^{2}}{400} + \frac{16 y^{2}}{400} = \frac{400}{400}$

Step 3

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 $1$ .

$\frac{x^{2}}{16} + \frac{y^{2}}{25} = 1$