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

C

Step-by-step 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