# How do you describe the nature of the roots of the equation #6x^2=2x-1#?

##### 1 Answer

Jun 1, 2017

The roots are imaginary.

#### Explanation:

If a quadratic equation is in the form:

The discriminant is defined to be:

In this case:

Substituting:

Since the discriminant is negative, there are no real-number solutions.

If the discriminant is positive, there are 2 distinct real-number solutions and if the discriminant is