Question

If the discriminant of a quadratic equation is equal to -9, which statement describes the roots?

Answer 1

ANSWER

No real roots.

The roots are complex or imaginary.

EXPLANATION

The quadratic equation

$a {x}^{2} + bx + c = 0$

has discriminant,

$D = {b}^{2} - 4ac$

If the discriminant is less than zero , then the quadratic equation has no real roots.

The given discriminant is -9.

Since -9 is less than zero, it means the quadratic equation has complex or imaginary roots.