x-6/x-5 +k＝1/x-5
x-6+k(x-5)＝1
x-6+kx-5k=1
(k+1)x=5k+7
分式方程x-6/x-5 +k＝1/x-5其中k为常数,产生增根,
则x=5
(k+1)*5=5k+7
5k+5=5k+7
k无解.