SOLUTION: nine divided by the difference of a number and 2 minus 8 divided by a number plus 2, equals 6 times the reciprocal of the difference of the number squared and 4. What is the number

Question 691741: nine divided by the difference of a number and 2 minus 8 divided by a number plus 2, equals 6 times the reciprocal of the difference of the number squared and 4. What is the number?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Write an equation for just what it says:
:
nine divided by the difference of a number and 2 minus 8 divided by a number plus 2, equals 6 times the reciprocal of the difference of the number squared and 4.
- = 6*
Factor the the 3rd denominator
- = 6*
Multiply thru by the common denominator, cancel the denominators, results:
9(n+2) - 8(n-2) = 6
9n + 18 - 8n + 16 = 6
9n - 8n = 6 - 34
n = -28 is the number
:
:
See if that works
- = 6*
using a calc
- = 6*
-.3 - (-.3077) = .0077
-.3 + .3077) = .0077

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