# How do you find the value of the discriminant and determine the nature of the roots #x^2 + 4x = -7#?

##### 1 Answer

Sep 26, 2016

Roots are complex conjugates. For given equation they are

#### Explanation:

The discriminant of a quadratic equation

If **roots are rational**.

If **roots are real but not rational**.

If **equal roots**.

If **roots are complex**, and if

In

the discriminant is

hence roots are complex conjugates.

In fact

or

or

i.e.