Answer:
Step-by-step explanation:
Given
[tex]Discriminant = -8[/tex]
Required
Determine the type of roots
Represent Discriminant with D; such that
[tex]D = -8[/tex]
D is calculated as thus
[tex]D = b^2 - 4ac[/tex]
And it has the following sequence of results
When [tex]D > 0;[/tex] then the roots of the quadratic equation are real but not equal
When [tex]D = 0;[/tex] then the roots of the quadratic equation are real and equal
When [tex]D < 0;[/tex] then the roots of the quadratic equation are complex or imaginary
Given that [tex]D = -8[/tex]; This means that [tex]D < 0;[/tex] and base on the above analysis, we can conclude that the roots of the quadratic equation are complex or imaginary
