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.

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Question 304022: 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.
Answer by mananth(16946) About Me  (Show Source):
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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.
176= 200 +5t-t^2
176-200=5t-t^2
-24-5t+t^2=0
t^2-5t-24=0
t^2-8t+3t-24=0
t(t-8)+3(t-8)=0
(t-8)(t+3)=0
t=8 Or t= -3
T= 8 is the number of days
Ananth