Find the discriminant and describe the roots for this equation x^2+3x+8=0

Step-by-step explanation:

The discriminant of a quadratic equation is b² - 4ac.

Here, a = 1, b = 3 and c = 8, and so the value of the discriminant is:

3² - 4 (1) (8) = 9 - 32 = - 23

The discriminant is - 23 in this case.

A negative discriminant indicates that the roots will be complex.