Final answer:
The solutions for the quadratic equation can be found using the quadratic formula.
Step-by-step explanation:
This expression is a quadratic equation of the form ax²+bx+c = 0, where the constants are a = 4.90, b = 14.3, and c = -20.0. Its solutions are given by the quadratic formula:
x = (-b ± sqrt(b² - 4ac)) / 2a
Plugging in the values from the given equation, we have:
x = (-14.3 ± sqrt(14.3² - 4(4.90)(-20.0))) / (2(4.90))
Simplifying and calculating the values, we get the solutions for x.