# How do you find the value of the discriminant and determine the nature of the roots #-4r^2-4r=6#?

##### 1 Answer

We have **complex conjugate roots** for the given equation.

#### Explanation:

The discriminant of quadratic equation

If **square of a rational number** (and so are **rational** .

If **square of a rational number**, roots are irrational and **real** .

If **only one root** given by

If **complex** .

Hence, one needs to first convert the equation

As we have

the determinant is

As the determinant is negative and **complex conjugate roots** for the given equation.

These are

i.e.