Precalculus Examples

3 x^{2} + y^{2} = 9

$3 x^{2} + y^{2} = 9$

Step 1

Divide each term by

9

$9$ to make the right side equal to one.

\frac{3 x^{2}}{9} + \frac{y^{2}}{9} = \frac{9}{9}

$\frac{3 x^{2}}{9} + \frac{y^{2}}{9} = \frac{9}{9}$

Step 2

Simplify each term in the equation in order to set the right side equal to

1

$1$ . The standard form of an ellipse or hyperbola requires the right side of the equation be

1

$1$ .

\frac{x^{2}}{3} + \frac{y^{2}}{9} = 1

$\frac{x^{2}}{3} + \frac{y^{2}}{9} = 1$

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