用换元法解分式方程(x-1)/x-(3x)/(x-1)+1=0,如果设(x-1)/x=y则y-(3/y)+1=0y²+y-3=0然后用求根公式求出y,再求出x
(x-1)/x=yx/(x-1)=1/y整式方程是 y -3/y+1=0
(x-1)/x=yy-3/y+1=0 两边乘以yy^2+y-3=0
整式方程 y2+y-3=0
y-3/y+1=0