Final answer:
The discriminant of the quadratic equation -4x^2 + 0x - 25 = 0 is -400, indicating two complex solutions.
Step-by-step explanation:
To find the discriminant of the quadratic equation -4x^2 + 0x - 25 = 0, we use the formula for the discriminant which is b^2 - 4ac, where a, b, and c are the coefficients of the equation ax²+bx+c=0. For our equation, a is -4, b is 0, and c is -25. Plugging these into the discriminant formula, we get:
D = b² - 4ac
D = (0)^2 - 4*(-4)*(-25)
D = 0 - 400
D = -400
Since the discriminant is negative (D = -400), this indicates that the equation has two complex solutions. Therefore the correct answer is:
c) Discriminant = -400; Two complex solutions