Algebra Examples

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

Divide each term by $4$ to make the right side equal to one.

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

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 $1$ .

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

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