Question

当m满足什么条件是,关于x的方程m/(x-2)(x+1)=x/x+1-x-1/x-2的解为正数

Answer 1

m/[(x+1)(x-2)]-x/(x+1)-(x-1)/(x-2)=0

m/(x+1)(x-2)-[x(x-2)-(x+1)(x-1)]/[(x+1)(x-2)]=0

m/(x+1)(x-2)-(1-2x)/[(x+1)(x-2)]=0

(2x-1+m)/[(x+1)(x-2)]=0

2x-1+m=0

x=(1-m)/2>0

m