1/(x-1)^2+4/(x-1)-12=0

Question

1/(x-1)^2+4/(x-1)-12=0

Answer 1

1/(x-1)=z  x≠1
z²+4z-12=0  z1=-6  z2=2    по теореме Виета
1/(x-1)=-6   x-1=-1/6    x1=5/6
1/(x-1)=2     x-1=1/2   x2=3/2