Algebra Examples

$x^{2} + 2 y^{2} + 4 x - 8 y - 30 = 0$

Step 1

Since both variables are squared and the coefficients have the same sign but different coefficients, the conic is an ellipse.

Ellipse

Step 2

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$