x/x-2-1-x^2/x^2-5x+6=2x/x-3 要具体过程噢 最好

问题描述:

x/x-2-1-x^2/x^2-5x+6=2x/x-3 要具体过程噢 最好

x/(x-2)-(1-x^2)/(x^2-5x+6)=2x/(x-3)
x/(x-2)-(1-x^2)/(x-2)(x-3)=2x/(x-3)
方程二边同乘上:(x-2)(x-3)
x(x-3)-(1-x^2)=2x(x-2)
x^2-3x-1+x^2=2x^2-4x
x=1