Final answer:
To solve the quadratic equation, use the quadratic formula to find the values of x. The correct answer is (10, -20).
Step-by-step explanation:
To solve the quadratic equation, we can use the quadratic formula:
a = 1, b = 10, c = -200
x = (-b ± √(b^2 - 4ac))/(2a)
Substituting the values into the formula, we get:
x = (-10 ± √(10^2 - 4(1)(-200)))/(2(1))
x = (-10 ± √(100 + 800))/2
x = (-10 ± √900)/2
x = (-10 ± 30)/2
x = -5 ± 15
Therefore, the solutions to the quadratic equation are (-5 + 15) and (-5 - 15), which simplify to 10 and -20 respectively.
So, the correct answer is (10, -20).