Final answer:
To solve for the time t, we use the quadratic formula by rearranging the equation and substituting values into the formula.
Step-by-step explanation:
To solve for the time t, we need to use an equation that has only one unknown variable. Let's consider the quadratic equation t² + 10t - 2000 = 0 as an example. In this equation, we need to rearrange it to have 0 on one side, which gives t² + 10t - 2000 = 0. Now we can use the quadratic formula to solve for t.
Identify the coefficients in the equation: a = 1, b = 10, and c = -2000.
Use the quadratic formula: t = (-b ± √(b² - 4ac)) / (2a).
Substitute the values into the formula and simplify to find the solutions for t.
So, by using the quadratic formula, we can find the values of t that satisfy the equation.