# How do you use the discriminant to classify the conic section #x^2 + y^2 - 6x + 8y - 24 = 0#?

##### 1 Answer

Jul 19, 2018

**Ellipse**

#### Explanation:

The given general quadratic equation:

Comparing above equation with the standard form of quadratic equation:

Now, using determinant

Now, using determinant of conic section :

**ellipse** .