2/x-1-10/x-1: 10/x^2-1-x+1/x-1

Question

2/x-1-10/x-1: 10/x^2-1-x+1/x-1

Answer 1

1)10/(x-1)*(x-1)(x+1)/10=x+1
2)2/(x-1)-(x+1)-(x+1)/(x-1)=(2-x²+1-x-1)/(x-1)=(2-x-x²)/(x-1)=
=(1-x)(x+2)/(x-1)=-2-x
-x²-x+2=0
x²+x-2=0
x1+x2=-1 U x1*x2=-2
x1=-1 x=2