Final answer:
To solve the quadratic equation t² + 10t - 2000 = 0, we can use the quadratic formula.
Step-by-step explanation:
To solve the quadratic equation t² + 10t - 2000 = 0, we can use the quadratic formula. The quadratic formula is:
t = (-b ± √(b² - 4ac)) / (2a)
For this equation, a = 1, b = 10, and c = -2000. Plugging these values into the quadratic formula, we get:
t = (-10 ± √(10² - 4(1)(-2000))) / (2(1))
Simplifying the expression further, we have:
t = (-10 ± √(100 + 8000)) / 2
t = (-10 ± √(8100)) / 2
t = (-10 ± 90) / 2
The two possible values for t are:
t = (-10 + 90) / 2 = 80 / 2 = 40
t = (-10 - 90) / 2 = -100 / 2 = -50