Final answer:
The equation has two distinct solutions.
Step-by-step explanation:
To determine if the equation ax² + bx + c = 0 has a solution, we can use the discriminant formula: Δ = b² - 4ac.
If the discriminant is greater than or equal to 0, there is a solution.
For the given values of a = 1.00, b = 10.0, and c = -200, we can calculate the discriminant as follows: Δ = (10.0)² - 4(1.00)(-200) = 10,400.
Since the discriminant is positive (greater than 0), there are two distinct solutions for the equation.