Algebra Examples

$5 x^{2} + 8 y^{2} = 40$

Step 1

Divide each term by $40$ to make the right side equal to one.

$\frac{5 x^{2}}{40} + \frac{8 y^{2}}{40} = \frac{40}{40}$

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 $1$ .

$\frac{x^{2}}{8} + \frac{y^{2}}{5} = 1$