Final answer:
The solutions to the equation can be found using the quadratic formula. The solutions are -15.684 and 5.684.
Step-by-step explanation:
The solutions to the equation can be found using the quadratic formula. Given the equation:
ax^2 + bx + c = 0
where a = 1.00, b = 10.0, and c = -200, we can substitute these values into the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
Substituting the values into the formula, we have:
x = (-10.0 ± √(10.0^2 - 4(1.00)(-200))) / (2(1.00))
Simplifying this expression gives us two solutions:
x = -15.684
and
x = 5.684
Therefore, the solutions to the equation are -15.684 and 5.684.