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

Algebra.Com
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)   (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?
-------------------------------
t + sqrt(7t+2) = 6000
sqrt(7t+2) = 6000-t
---
Square both sides to get:
7t+2 = 6000^2 - 12000t + t^2
Rearrange:
t^2 - 12007t + 6000^2-2 = 0
---
Solve for "t":
The quadratic has no Real Number solution.
----
Check your data.
============================
Cheers,
Stan H.

RELATED QUESTIONS

A town’s population P (in number of thousands) is expected to increase according to the... (answered by jim_thompson5910)
The population of a town can be represented by the formula P(t) = 67.35 - 3t/8, where... (answered by tutor_paul)
The population of a certain city increase according to the following formula... (answered by solver91311)
the future population of a town is modeled by p(t) = 120+4 t+0.05 t^2 where p is the... (answered by stanbon)
The population of a town has been growing, following the equation P=500t+3500, where t is (answered by Cromlix)
The population of a town has been growing, following the equation P=500t+3500,where t is... (answered by ewatrrr)
the population of a town is 10000 people. the population is growing according to the... (answered by josmiceli)
The current population of a town is 10,000 people. The population is decreasing according (answered by josgarithmetic)
The population of a town is 10,000 people. The population is growing according to the... (answered by Theo,greenestamps,josgarithmetic,MathTherapy)