Question

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

Answer 1

there are no real roots
there are 2 complex roots

Answer 2

Roots of the quadratic Equation are not real. Roots are Complex Conjugates.

Explanation:

Given: Discriminant of the a Quadratic Equation = -8

ax² + bx + c = 0 is standard form of quadratic equation, then the discriminant is given as follows:

D = b² - 4ac

we know that if,

1). D > 0 then Roots of the Quadratic equations are Real and Distinct.

2). D = 0 then Roots of the Quadratic equations are Real and Equal.

3). D < 0 then Roots of the Quadratic equations are not Real . They are complex conjugate.

So, for the given Discriminant we have Roots of the quadratic Equation are not real. Roots are Complex Conjugates.