解方程x/(x-2)=2x/(x-3)+(1-x)/(x-5x+6)

问题描述:

解方程x/(x-2)=2x/(x-3)+(1-x)/(x-5x+6)

x/(x-2)=2x/(x-3)+(1-x)/(x-5x+6) x/(x-2)=2x/(x-3)+(1-x)/(x-2)(x-3) x(x-3)/(x-2)(x-3)=2x(x-2)/(x-2)(x-3)+(1-x)/(x-2)(x-3) x(x-3)/(x-2)(x-3)=[2x(x-2)+(1-x)]/(x-2)(x-3) x(x-3)=2x(x-2)+(1-x) x-3x=2x-4x+1-x -3x=-4x+1 4x-3x=1 x=1