SOLUTION: three times a number is subtracted from four times its reciprocal. the result is 11. find the number

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Question 617529: three times a number is subtracted from four times its reciprocal. the result is 11. find the number
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Let n be the number.
4(1/n)-3n=11
Rewritten as:
4/n=3n==11
Multiply n
4-3n^2=11n
Rewritten as:
3n^2+11n-4=0
Factor
(3n-1)(n+4)=0
Solve for n:
n=1/3
n=-4
Make sense?
RJ
www.math-unlock.com