Final answer:
The expression for the given function is a quadratic equation. The solutions can be found using the quadratic formula.
Step-by-step explanation:
The expression for the given function is a quadratic equation of the form at² + bt + c = 0, with the constants a = 4.90, b = -14.3, and c = -20.0. The solutions to this equation can be found using the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
Plugging in the given values, we get:
x = (-(-14.3) ± √((-14.3)² - 4(4.90)(-20.0))) / (2(4.90))
Simplifying this expression will give you the roots of the quadratic equation.