if the discriminant of a quadratic equation is equal to -8, which statement describes the roots?\nthere are…

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

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

Answer

Explanation:

Step1: Recall the discriminant rule

For a quadratic equation (ax^{2}+bx + c = 0) ((a\neq0)), the discriminant is (\Delta=b^{2}-4ac). If (\Delta>0), there are two distinct real roots. If (\Delta = 0), there is one real root. If (\Delta<0), there are two complex roots.

Step2: Analyze the given discriminant

Given (\Delta=-8<0).

Answer:

There are two complex roots.