Question

若方程3a/(1-x)+1/(x-1)=1,无解求a的值

Answer 1

-3a/(x-1)+1/(x-1)=1

两边同乘x-1,得：-3a+1=x-1

∵此方程无解

∴此方程有增根

∴x-1=0

x=1

将x=1代入,得：-3a+1=1-1

解,得：a=1/3