1/(X-4)+4/(X-1)=2/(X-3)+3/(x-2) 1/(x-4)-2/(x-3)=3/(x-2)-4/(x-1) [(x-3)-2(x-4)]/(x-4)(x-3)=[3(x-1)-4(x-2)]/(x-2)(x-1) (5-x)/(x^2-7x+12)=(5-x)/(x^2-3x+2) (1):5-x=0 x=5 (2):x^2-7x+12=x^2-3x+2 x=2.5 即方程的解是:X1=5,X2=2。5