Precalculus Examples

$x^{2} + 17 y^{2} = 17$

Step 1

Divide each term by $17$ to make the right side equal to one.

$\frac{x^{2}}{17} + \frac{17 y^{2}}{17} = \frac{17}{17}$

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 $1$ .

$\frac{x^{2}}{17} + y^{2} = 1$