SOLUTION: The number of people infected after t days is P=200+5t-t^2. Find the number of days until the number of people infected is 176. Help! What are the steps to solve this equation?

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Question 256876: The number of people infected after t days is P=200+5t-t^2.
Find the number of days until the number of people infected is 176.
Help! What are the steps to solve this equation?

Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!
We start with the equation:

P = 176, so we get

So, we get

factoring, we get

solving for t, we get
t = 8; t = -3.
Since time is not negative, we get
t = 8 days

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