SOLUTION: Ten divided by the difference of a number and 2 minus 9 divided by a number plus 2, equals 8 times the reciprocal of the difference of the number squared and 4. What is the number?

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Question 350557: Ten divided by the difference of a number and 2 minus 9 divided by a number plus 2, equals 8 times the reciprocal of the difference of the number squared and 4. What is the number?
Answer by mananth(16946) About Me  (Show Source):
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Ten divided by the difference of a number and 2 minus 9 divided by a number plus 2, equals 8 times the reciprocal of the difference of the number squared and 4. What is the number?
10%2F%28x-2%29+-+9%2F%28x%2B2%29+=8%2F%28x%5E2-4%29
LCM= (x-2)(x+2) of LHS
%2810%28x%2B2%29-9%28x-2%29%29%2F%28%28x%2B2%29%28x-2%29%29=+8%2F%28x%5E2-4%29
%2810x%2B20-9x%2B18%29%2F%28x%5E2-4%29+=+8%2F%28x%5E2-4%29
x+38 =8
x=-38+8
x=-30