Question

$-2x^2 - 3x - 9$ how many solutions does this equation have? 1 real solution 2 complex solutions 2 real solutions

Explanation:

Step1: Identify quadratic coefficients

For $-2x^2 - 3x - 9 = 0$, $a=-2$, $b=-3$, $c=-9$

Step2: Calculate discriminant

$\Delta = b^2 - 4ac = (-3)^2 - 4(-2)(-9)$

Step3: Compute discriminant value

$\Delta = 9 - 72 = -63$

Step4: Interpret discriminant

Since $\Delta < 0$, there are 2 complex solutions.

Answer:

2 Complex Solutions