Question

1/(X-1)^2+2/x-1-3=0 решите плизз срочноо!!

Answer 1

1/( x - 1 )^2 + 2/( x - 1 ) - 3 = 0
( 1 + 2( x - 1 ) - 3( x - 1 )^2 ) / ( x - 1 )^2 = 0
X не равен 1
1 + 2х - 2 - 3х^2 + 6х - 3 = 0
- 3х^2 + 8х - 4 = 0
3х^2 - 8х + 4 = 0
D = 64 - 48 = 16 = 4^2
X1 = ( 8 + 4 ) : 6 = 2
X2 = ( 8 - 4 ) : 6 = 2/3
Ответ 2 ; 2/3