Final answer:
The discriminant of the quadratic equation x^2 + 12x + 36 = 0 is 0, indicating that the equation has one real solution.
Step-by-step explanation:
The discriminant of a quadratic equation is calculated using the formula b^2 - 4ac, where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.
In the given quadratic equation x^2 + 12x + 36 = 0, a = 1, b = 12, and c = 36.
Substituting these values into the discriminant formula, we get:
Discriminant = 12^2 - 4(1)(36) = 144 - 144 = 0
Since the discriminant is equal to zero, the quadratic equation has one real solution.