SOLUTION: Five divided by the sum of a number and 1, minus the quotient of 3 and the difference of the number and 1 is equal to 6 times the reciprocal of the difference of the number squared

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Question 33898: Five divided by the sum of a number and 1, minus the quotient of 3 and the difference of the number and 1 is equal to 6 times the reciprocal of the difference of the number squared and 1. What is the number?
Could be 7, -1, -1/4, or 4
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number be x
Equation:
5%2F%28x%2B1%29-3%2F%28x-1%29=6%281%2F%28x%5E2-1%29%29
Now x^2-1 --> (x-1)(x+1) so multiply the whole equation by (x+1)and (x-1)
And simplfy you get:
5(x-1)-3(x+1)=6
5x-5-3x-3=6
2x=14
x=7
Hence, the number is 7.
Paul.