Question

若关于x的分式方程x+2分之x+1减x-1分之x=(x+2)(x-1)分之m的解是负数,求m的取值范围

Answer 1

x+2分之x+1减x-1分之x=(x+2)(x-1)分之m

两边同乘以(x+2)(x-1)

x²-1-x²-2x=m

2x=-1-m

x=(-1-m)/2