求不等式(x²-3x+2)(1-x)/x(x²-4)≥0的解集

问题描述:

求不等式(x²-3x+2)(1-x)/x(x²-4)≥0的解集
如题,用穿针引线法,特别是分母如何换上去的

(x²-3x+2)(1-x)/x(x²-4)≥0(x-1)(x-2)(1-x)/x(x+2)(x-2)≥0-(x-1)²(x-2)/x(x+2)(x-2)≥0-(x-1)²/x(x+2)≥0-(x-1)²* x(x+2)≥0且x(x+2)≠0   x-2≠0   (分子分...原来(x-1)(1-x)=(x-1)²的?(x-1)(1-x)=-(x-1)²