Precalculus Examples

$49 x^{2} + 4 y^{2} = 196$

Step 1

Divide each term by $196$ to make the right side equal to one.

$\frac{49 x^{2}}{196} + \frac{4 y^{2}}{196} = \frac{196}{196}$

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 $1$ .

$\frac{x^{2}}{4} + \frac{y^{2}}{49} = 1$