SOLUTION: 6 divided by the difference of a number and 2​, minus 5 divided by a number plus 2​, equals 5 times the reciprocal of the difference of the number squared and 4. What i
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Question 1075068: 6 divided by the difference of a number and 2, minus 5 divided by a number plus 2, equals 5 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!
6 divided by the difference of a number and 2, minus 5 divided by a number plus 2, equals 5 times the reciprocal of the difference of the number squared and 4. What is the number?
:
we know that (x-2)(x+2) = x^2-4
multiply equation by x^2-4, cancel the denominators, then we have
6(x+2) - 5(x-2) = 5
6x + 12 - 5x + 10 = 5
6x - 5x + 22 = 5
x = 5 - 22
x = -17
:
:
See if that checks out
Checks out on a my calc
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