Question

1/x+1=3+3/3x-1 решите пожалуйста

Answer 1

(1/х+1)=3+(3/3х-1) х≠-1, х≠-1/3
(1/х+1)-3-(3/3х-1)=0
(3х-1-9х²+3х-9х+3-3х-3/(х+1)(3х-1))=0
-(1+6х+9х²)=0
-(1+3х)²=0
(1+3х)²=0
1+3х=0
3х=-1
х=-1/3,х≠-1, х≠-1/3
Ответ: х=-1/3