<u>Answer:</u>
A) There are two complex solutions.
<u>Step-by-step explanation:</u>
To know how many solutions a quadratic equation has, calculate the discriminant of the equation.
discriminant = b² - 4ac
where a = coefficient of x²
b = coefficient of x
c = constant of equation
if b² - 4ac > 0 , then equation has 2 real roots
if b² - 4ac = 0 , then equation has 1 real, repeated root
if b² - 4ac < 0 , then equation has 2 complex roots
In this case, discriminant = 9² - 4(-2)(-12)
= -15
As -15 < 0, equation has 2 complex roots.
