SOLUTION: Five divided by the sum of a number and 3, minus the quotient of 3 and the difference of the number and 3 is equal to 6 times the reciprocal of the difference of the number squared

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Five divided by the sum of a number and 3, minus the quotient of 3 and the difference of the number and 3 is equal to 6 times the reciprocal of the difference of the number squared      Log On


   

Question 933507: Five divided by the sum of a number and 3, minus the quotient of 3 and the difference of the number and 3 is equal to 6 times the reciprocal of the difference of the number squared and 9. what is the number?
Answer by stanbon(75887) About Me  (Show Source):
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Five divided by the sum of a number and 3, minus the quotient of 3 and the difference of the number and 3 is equal to 6 times the reciprocal of the difference of the number squared and 9. what is the number?
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5/(x+3)-(3/(x-3) = 6(1/(x^2-9)
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Multiply thru by x^2-9 to get:
5(x-3) - 3(x+3) = 6
5x-15-3x-9 = 6
2x - 24 = 6
2x = 30
x = 15
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Cheers,
Stan H.
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