SOLUTION: One divded by the sum of a number and 4 plus one divided by the difference of a number and 4 is the same as the reciprocal of the difference of a number squared and 16. Find the nu

Question 616171: One divded by the sum of a number and 4 plus one divided by the difference of a number and 4 is the same as the reciprocal of the difference of a number squared and 16. Find the number.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
One divded by the sum of a number and 4 plus one divided by the difference of a number and 4 is the same as the reciprocal of the difference of a number squared and 16. Find the number.
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1/(x+4) + 1/(x-4) = 1/(x^2-16)
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Multiply thru by x^2-16 to get:
(x-4) + (x+4) = 1
2x = 1
x = 1/2
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Cheers,
Stan H.
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