Answer: The discriminant of a quadratic equation ax² + bx + c = 0 is given by the formula:
b² - 4ac
Given the equation x^2 - 4x - 4 = 0, we can find the discriminant by substituting the values of a, b, and c into the formula:
b² - 4ac = (-4)² - 4(1)(-4) = 16 + 16 = 32
So, the discriminant of the equation x^2 - 4x - 4 = 0 is 32.
Explanation: