Question 246626
The number of people infected after t days is P = 200 + 5t - t2. Find the number of days until the number of people infected is 176.

Did you mean t^2 for t2?

If so: 

Then 176 = 200 + 5t - t^2 which is equivalent to 

t^2 - 5t - 24 = 0

Solve this quadratic equation for x. Hint: -24 = 8*(-3) and 8-3 = 5