SOLUTION: A town’s population P (in number of thousands) is expected to increase according to the formula below. P=t+square(7t+2) The variable t is the number of years from now. In h

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Question 202655: A town’s population P (in number of thousands) is expected to increase according to the formula below.
P=t+square(7t+2)
The variable t is the number of years from now.
In how many years will the population be 6000?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
P=t+square(7t+2)
The variable t is the number of years from now.
In how many years will the population be 6000?
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t + sqrt(7t+2) = 6000
sqrt(7t+2) = 6000-t
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Square both sides to get:
7t+2 = 6000^2 - 12000t + t^2
Rearrange:
t^2 - 12007t + 6000^2-2 = 0
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Solve for "t":
The quadratic has no Real Number solution.
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Check your data.
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Cheers,
Stan H.