SOLUTION: If fifteen less than two times a number is divided by six more than the number, the result is four less than nine times the reciprocal of that number. Find the number.

Question 113711: If fifteen less than two times a number is divided by six more than the number, the result is four less than nine times the reciprocal of that number. Find the number.
Found 2 solutions by stanbon, Adam:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If fifteen less than two times a number is divided by six more than the number, the result is four less than nine times the reciprocal of that number. Find the number
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Let the number be "x".
EQUATION:
(2x-15)/(x+6) = (9/x)-4
(2x-15)/(x+6) = (9-4x)/x
Cross-multiply to get:
2x^2-15x = (x+6)(9-4x)
2x^2-15x = -4x^2-15x+54
6x^2=54
x^2 = 9
x = 3 or x = -3
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Cheers,
Stan H.
Answer by Adam(64) (Show Source): You can put this solution on YOUR website!
We can rewrite the problem as
now we multiply by 6x, x<>0
and get 2x-15=54-24x
26x-15=54
26x=69
x = 69/26 which equals 2.6538461..., where 538461538461 is repeating over and over to infinity...

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