SOLUTION: The sum of twice a positive integer and 4 times the reciprocal of the integer is 9. Find the integer.

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Question 314274: The sum of twice a positive integer and 4 times the reciprocal of the integer is 9. Find the integer.
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
Let n = the number we want to find.
2n + 4(1/n) = 9
To remove the fraction, multiply both sides of the equation by n.
We get 2n^2 + 4 = 9n.
Subtract 9n from both sides of the equation.
2n^2 - 9n + 4 = 0
We now have a quadratic equation.
Can you find n now?