Question

multiple choice 20 points. if the discriminant of a quadratic equation is equal to -8, which statement describes the roots? there is one complex root. there are two complex roots. there is one real root. there are two real roots.

Explanation:

Step1: Recall discriminant rule

For a quadratic equation $ax^{2}+bx + c=0$, the discriminant $\Delta=b^{2}-4ac$. If $\Delta> 0$, there are two real roots; if $\Delta = 0$, there is one real root; if $\Delta<0$, there are two complex roots.

Step2: Analyze given discriminant

Given $\Delta=-8<0$.

Answer:

There are two complex roots.