Question

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

Answer 1

A) There are two complex roots

Explanation:

took the test

Answer 2

Roots are complex numbers

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<0` -----> The equation has complex roots

In this problem the discriminant is -8

so

-8 < 0

therefore

Roots are complex numbers