SOLUTION: five divided by the sum of a number and 4, minus the quotient of 3 and the difference of the number and 4 is equal to 6 times the reciprocal of the difference of the number squared

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Question 439493: five divided by the sum of a number and 4, minus the quotient of 3 and the difference of the number and 4 is equal to 6 times the reciprocal of the difference of the number squared and 16. What is the number?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
five divided by the sum of a number and 4, minus the quotient of 3 and the difference of the number and 4 is equal to 6 times the reciprocal of the difference of the number squared and 16. What is the number?
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5/(x+4) - 3/(x-4) = 6/(x^2-16)
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Multiply thru by x^2-16 to get:
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5(x-4) - 3(x+4) = 6
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2x -32 = 6
2x = 38
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x = 19
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Cheers,
Stan H.
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