SOLUTION: nine divided by the difference of a number and 3 minus 8 divided by a number plus 3,equals 6 times the reciprocal of the difference of the squared and 9. what is the number?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: nine divided by the difference of a number and 3 minus 8 divided by a number plus 3,equals 6 times the reciprocal of the difference of the squared and 9. what is the number?      Log On


   

Question 669916: nine divided by the difference of a number and 3 minus 8 divided by a number plus 3,equals 6 times the reciprocal of the difference of the squared and 9. what is the number?
Answer by ReadingBoosters(3246) About Me  (Show Source):
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9%2F%28x-3%29+-+8%2F%28x%2B3%29+=+6%281%2F%28x%5E2%2B9%29%29
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Multiply the entire equation by x%5E2+%2B+9
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is the same as

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Cancel out terms
9%28x%2B3%29+-+8%28x-3%29+=+6
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Distribute
9x + 27 - 8x + 24 = 6
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Combine like terms
x = 6 - 27 - 24
highlight_green%28x+=+-45%29
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Check
%289%2F%28-45-3%29%29+-+8%2F%28-45%2B3%29+=+6%2F%28-45%5E2+%2B+9%29
9%2F-48+-+8%2F-42+=+6%2F2034
-378%2F2016+-+-384%2F2016+=+6%2F2016+=+.0029
6%2F2034+=++.0029
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