SOLUTION: Homework problem: The formula N=4x^2+5x+1 represents the number of househoulds N, in thousands, in a certain city that has a computer x years after 1990. According to the formula,
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Question 113214: Homework problem: The formula N=4x^2+5x+1 represents the number of househoulds N, in thousands, in a certain city that has a computer x years after 1990. According to the formula, in what year were there 175 thousand households with computers in this city? I would like to see how this is worked out, not just get an answer. Thank you!
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
is the given function. We want to know x when N = 175. So,
, subtract 175 from both sides
, collect terms
As it happens, this trinomial is factorable:
, so
, and
or
A negative number of years in this case would be absurd, so you can exclude the negative result. The answer is 6 years.
Hope this helps,
John
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