SOLUTION: Solve and check each equation for x x/x-2 - x+1/x = 8/x^2-2x Thank You!!!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve and check each equation for x x/x-2 - x+1/x = 8/x^2-2x Thank You!!!      Log On


   

Question 44690: Solve and check each equation for x
x/x-2 - x+1/x = 8/x^2-2x
Thank You!!!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x/(x-2) - (x+1)/x = 8/(x^2-2x)
LCM = x(x-2)
Multiply both sides by the LCM to get:
x^2 - (x+1)(x-2)=8
x^2-x^2+x+2=8
x=6
Cheers
Stan H.