1/(x-1)+k/(x-1)=x/(x+1)
(1+k)/(x-1) = x/(x+1)
(1+k)(x+1) = x(x-1)
有增根即 x=1 或 x= -1
x = 1 时,k = -1
x= - 1时,0=2 不成立
所以 k = - 1
感觉题目有点不对,你再核对一下
1/(x-1)+k/(x-1)=x/(x+1)
(1+k)/(x-1) = x/(x+1)
(1+k)(x+1) = x(x-1)
有增根即 x=1 或 x= -1
x = 1 时,k = -1
x= - 1时,0=2 不成立
所以 k = - 1
感觉题目有点不对,你再核对一下