SOLUTION: You can model the population of a certain city between 1955 and 2000 by the radical function P(x) = 55000*sqrt(x) - 1944. On which year was the population of the city 220,000?

Question 936117: You can model the population of a certain city between 1955 and 2000 by the radical function P(x) = 55000*sqrt(x) - 1944. On which year was the population of the city 220,000?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
55000*sqrt(x) - 1944 = 220000
55000*sqrt(x) = 220000 + 1944
sqrt(x) = (220000 + 1944)/55000
(sqrt(x))^2 = ( (220000 + 1944)/55000 )^2
x = ( (220000 + 1944)/55000 )^2
x = 16.2840129375
--
check:
55000*sqrt(16.2840129375) - 1944 = 220000
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answer:
year = 1955 + 16.2840129375
year = 1971
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