Determine the discriminant and then state how many solutions there are and the nature of the solutions. Do not solve. 6x^2-x-2=0

Given:

The quadratic equation is:

To find:

The nature of the solutions by using the discriminant.

Solution:

If a quadratic equation is , then its discriminant is:

If D<0, then both roots are complex.

If D=0, then both roots are real and equal.

If D>0, then both roots are real and distinct.

We have,

Here, . So, the value of the discriminant is:

Since , then both roots are real and distinct.

Hence, the discriminant of the given quadratic equation is 49 and both roots are real and distinct.

explanation:

remove parenthesis:

=

apply rule

=

multiply fractions:

=

=

divide:

=

mordancy.

answer: c. im 100 percent sure

step-by-step explanation: