Final answer:
The given expression is a quadratic equation with solutions that can be found using the quadratic formula.
Step-by-step explanation:
The given expression is a quadratic equation of the form at² + bt + c = 0, where a = 4.90, b = 14.3, and c = -20.0. The solutions to this quadratic equation can be found using the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
Substituting the given values of a, b, and c into the formula, we get:
x = (-14.3 ± √(14.3² - 4(4.9)(-20.0))) / (2(4.9))