SOLUTION: Solve the equation using the factoring or square root method. (x)/(x-1)+(4)/(x)=(x+2)/(x)

Algebra ->  Square-cubic-other-roots -> SOLUTION: Solve the equation using the factoring or square root method. (x)/(x-1)+(4)/(x)=(x+2)/(x)      Log On


   

Question 1007556: Solve the equation using the factoring or square root method.
(x)/(x-1)+(4)/(x)=(x+2)/(x)
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
x/(x-1) + 4/x = (x+2)/x

Multiply both sides by x(x-1).

x^2 + 4(x-1) = (x+2)(x-1)
x^2 + 4x - 4 = x^2 + x - 2
4x - 4 = x - 2
3x = 2

x = 2/3