解方程:1/(x-1)-6/(1-x³)=(x-1)/(x²+x+1)

问题描述:

解方程:1/(x-1)-6/(1-x³)=(x-1)/(x²+x+1)

1/(x-1)-6/(1-x³)=(x-1)/(x²+x+1)(x²+x+1)/(x³-1)+6/(x³-1)=(x-1)²/(x³-1)(x²+x+1)+6=(x-1)² x²+x+7= x²-2x+1 3x=-6x=-2