Question

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

Answer 1

Explanation:

Given

`Discriminant = -8`

Required

Determine the type of roots

Represent Discriminant with D; such that

`D = -8`

D is calculated as thus

`D = b^2 - 4ac`

And it has the following sequence of results

When
`D > 0;` then the roots of the quadratic equation are real but not equal

When
`D = 0;` then the roots of the quadratic equation are real and equal

When
`D < 0;` then the roots of the quadratic equation are complex or imaginary

Given that
`D = -8`; This means that
`D < 0;` and base on the above analysis, we can conclude that the roots of the quadratic equation are complex or imaginary