Question

The Discriminant of a quadratic equationis is -6 .What types of solutions does the equation have ?

a.2 irrational solutions
b.1 real solution
c.2 complex conjugate solutions
d.2 rational solutions​

Answer 1

C

Explanation:

The nature of the solutions are determined by the value of the discriminant.

Given a quadratic equation in standard form ax² + bx + c = 0 : a ≠ 0

Then the discriminant is Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct solutions

• If b² - 4ac = 0 then solutions are real and equal

• If b² - 4ac < 0 then solutions are not real, 2 complex conjugate solutions

Here b² - 4ac = - 6 , hence 2 complex conjugate solutions → C

Answer 2

I’m pretty sure the answer is C