Final answer:
The discriminant for the equation -4x² - 12x - 9 = 0 is 288.
Step-by-step explanation:
To calculate the value of the discriminant for the equation -4x² - 12x - 9 = 0, we can use the formula: discriminant = b² - 4ac. In this equation, a = -4, b = -12, and c = -9. Substituting these values into the formula, we get: discriminant = (-12)² - 4(-4)(-9). Solving this expression gives us a discriminant value of 288.