(x+1)/(x-1)-1=4/(x^2-1 )解:两边同时乘以(x²-1),去分母,得(x+1)²-(x²-1)=4x²+2x+1-x²+1=42x+2=42x=2x=1当X=1时,X²-1=0,所以,X=1是原方程的增根,∴原方程无解。