x-1之1减x-2分之1=x-3分之1减x-4分之11/x-1-1/x-2=1/x-3-1/x-41/x-1+1/x-4=1/x-3+1/x-2(x-4+x-1)/(x-1)(x-4)=(x-2+x-3)/(x-3)(x-2)(2x-5)/(x^2-5x+4)=(2x-5)/(x^2-5x+6)(2x-5)(x^2-5x+4)-(2x-5)(x^2-5x+6)=0(2x-5)(x^2-5x+4-x^2+5x-6)=0(2x-5)=0x=5/2经检验x=5/2是方程的解