SOLUTION: seven divided by the difference of a number and 2 minus 6 divided by a number plus 2 equals 6 times the reciprocal of the difference of the number squared and 4, whats the number?

Question 443815: seven divided by the difference of a number and 2 minus 6 divided by a number plus 2 equals 6 times the reciprocal of the difference of the number squared and 4, whats the number?
i tried to translate it but some of the words get me caught up and i dont know what to do next, my attempt is:
7/2x-6/x+2=6x*1/x^2-4
please help? im pretty lost... thanks!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
seven divided by the difference of a number and 2, minus 6 divided by a number plus 2, equals 6 times the reciprocal of the difference of the number squared, and 4,
:
- =
Hey! That's what you had, if you had plunged ahead fearlessly, you probably would have gotten it!
:
Factor the diff of squares, the common denominator is (x-2)(x+2)
- =
Multiply each term by the common denominator, the results
7(x+2) - 6(x-2) = 6
7x + 14 - 6x + 12 = 6
7x - 6x + 26 = 6
x = 6 - 26
x = -20
:
See if that works
- =
- =
Fortunately the common denominator is 396, so we have
- =
which is
+ =

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