SOLUTION: how would I solve a proportion that looks like this x+1/6=x-1/x please help me. I dont know what Im doing.

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Question 425966: how would I solve a proportion that looks like this
x+1/6=x-1/x

please help me. I dont know what Im doing.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

%28x%2B1%29%2F6=+%28x-1%29%2Fx   |Cross Multiplying 

  6(x-1) = x(x+1)

  6x -6 = x^2 + x

  x^2 - 5x + 6 = 0

factoring

 (x-2)(x-3)= 0

 (x-2)=0   x = 2

 (x-3)= 0  x = 3



CHECKING our Answers***

 (2+1)/6 = (2-1)/2 = 1/2

 (3+1)/6 = (3-1)/3 = 2/3