SOLUTION: stated as a fraction x/x-1-3/x=1/2 my text states that it is looking for 2 answers 1 for each of the x's I would appreciate any help on the path to get there.

Algebra ->  Linear-equations -> SOLUTION: stated as a fraction x/x-1-3/x=1/2 my text states that it is looking for 2 answers 1 for each of the x's I would appreciate any help on the path to get there.       Log On


   



Question 28695: stated as a fraction x/x-1-3/x=1/2 my text states that it is looking for 2 answers 1 for each of the x's I would appreciate any help on the path to get there.
Answer by wuwei96815(245) About Me  (Show Source):
You can put this solution on YOUR website!
x/x-1 - 3/x = 1/2
x^2/x-1 -3 = x/2
2x^2/x-1 -6 = x
2x^2 -6(x-1) = x(x-1)
2x^2 -6x +6 = x^2 -x
x^2 -5x +6 = 0
(x-2)(x-3) = 0
x=2, x=3