x/(x-2)+2/(x²-4)=1方程两边同乘以(x+2)(x-2)x(x+2)+2=(x+2)(x-2)x²+2x+2=x²-4 2x=-6 x=-3经检验x=-3是原方程的解把x=-3代入到(x+2)(x-2)=(-1)(-5)≠0