方式方程x⼀x-1 - 1 =m⼀(x-1)(x+2) 有增根,则m的值为?

求详情谢谢
2024-12-12 19:48:27
推荐回答(1个)
回答1:

两边乘(x-1)(x+2)
x(x+2)-(x-1)(x+2)=m
增根即分母为0
(x-1)(x+2)=0
x=1,x=-2

x=1
代入x(x+2)-(x-1)(x+2)=m
m=3

x=-2
代入x(x+2)-(x-1)(x+2)=m
m=0

所以m=3,m=0