Question

If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?

Answer 1

Answer:

Roots are complex numbers

Step-by-step explanation:

we know that

In a quadratic equation of the form $ax^{2} +bx+c=0$

The discriminant is equal to  $b^{2} -4ac$

If $b^{2} -4ac=0$ -----> The equation has only one real root

If $b^{2} -4ac>0$ -----> The equation has two real roots

If $b^{2} -4ac$ -----> The equation has complex roots

In this problem the discriminant is -8

so

-8 < 0

therefore

Roots are complex numbers