Question

if the discriminant of a quadratic equation is equal to -8, which statement describes the roots?
there are two complex roots.
there are two real roots.
there is one real root.
there is one complex root.

Explanation:

Step1: Recall discriminant rules

For a quadratic equation $ax^2+bx+c=0$, discriminant $D=b^2-4ac$. If $D<0$, roots are complex.

Step2: Analyze given discriminant

Given $D=-8<0$, so there are two distinct complex roots (by Fundamental Theorem of Algebra, quadratics have 2 roots).

Answer:

There are two complex roots.