Final answer:
The question asks for the solution of a quadratic equation, which can be done using the quadratic formula after identifying the values for coefficients a, b, and c from the given standard form of the equation.
Step-by-step explanation:
The question pertains to solving a quadratic equation, which is represented in the standard form ax² + bx + c = 0. We can determine the values of the coefficients a, b, and c that constitute the quadratic equation. Once these constants are identified, the solution can be found using the quadratic formula, which is x = (-b ± √(b² - 4ac)) / 2a.
For instance, if a quadratic equation is 4.90t² - 14.3t - 20.0 = 0, the leading coefficient or the constant 'a' is 4.90, the coefficient b that accompanies the variable t is -14.3, and the constant term 'c' is -20.0. To find the solutions of t, we insert these values into the quadratic formula and carry out the calculations.