Question

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


A.) There are two complex roots.
B.) There are two real roots.
C.) There is one real root.
D.) There is one complex root.

Answer 1

Keywords

quadratic equation, discriminant, complex roots, real roots

we know that

The formula to calculate the roots of the quadratic equation of the form  $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}}{2a}$

where

The discriminant of the quadratic equation  is equal to

$b^{2}-4ac$

if  $(b^{2}-4ac)> 0$ ----> the quadratic equation has two real roots

if  $(b^{2}-4ac)=0$ ----> the quadratic equation has one real root

if  $(b^{2}-4ac)< 0$ ----> the quadratic equation has two complex roots

in this problem we have that

the discriminant is equal to $-8$

so

the quadratic equation has two complex roots

therefore

the answer is the option A

There are two complex roots

Answer 2

Answer:

There are two complex roots