Final answer:
To evaluate the expression, substitute the given values of b, c, and d into the quadratic equation.
Step-by-step explanation:
To evaluate the expression, substitute the given values of b, c, and d into the quadratic equation. The quadratic equation is of the form at² + bt + c = 0. Given constants: a = 4.90, b = 14.3, and c = -20.0. The solutions are given by the quadratic formula:
x = (-b ± sqrt(b² - 4ac)) / (2a)
Plugging in the values b = 5, c = 0.5, and d = 9.4 into the quadratic equation:
4.90(5)^2 + 14.3(5) - 20.0 = 0
Simplify the equation and solve for x to find the answer.