x/x-2 - 8/x²-4 =1/x+2

问题描述:

x/x-2 - 8/x²-4 =1/x+2
x/x-2 - 1=1/x²-4
2/x²-1 - 1/x-1=1

x/x-2 - 8/x²-4 =1/x+2x(x+2)-8=x-2x^2+x-6=0(x-2)(x+3)=0x=2(舍),x=-3x/x-2 - 1=1/x²-4x(x+2)-x^2+4=12x=-3x=-3/22/x²-1 - 1/x-1=12-(x+1)=x^2-1x^2+x-2=0(x+2)(x-1)=0x=-2,x=1(舍)