SOLUTION: Solve and check each of follwoing equations for x. x/x-2 - x+1/x = 8/x^2-2x Please help. Thank you very much.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve and check each of follwoing equations for x. x/x-2 - x+1/x = 8/x^2-2x Please help. Thank you very much.      Log On


   

Question 29420: Solve and check each of follwoing equations for x.
x/x-2 - x+1/x = 8/x^2-2x
Please help.
Thank you very much.
Answer by sdmmadam@yahoo.com(530) About Me  (Show Source):
You can put this solution on YOUR website!
x/(x-2) - (x+1)/x = 8/(x^2-2x) ----(1)
x/(x-2) - (x+1)/x = 8/x(x-2)
Multiplying by x(x-2) through out
xX(x)-(x+1)(x-2)= 8
x^2-[x(x-2)+1(x-2)] = 8
x^2-[x^2-2x+x-2] = 8
x^2-x^2+2x-x+2 = 8
x+2 = 8
x = 8-2 = 6
Answer: x = 6
Verification:x= 6 in (1)
LHS = 6/4-7/6 = (18-14)/12 =4/12= 1/3
RHS = 8/(36-12) = 8/24 = 1/3 =LHS