x=2-3y
(2-3y-3)^2+(y-1)^2=8
(-3y-1)^2+(y-1)^2=8
9y^2+6y+1+y^2-2y+1-8=0
10y^2+4y-6=0/:2
5y^2+2y-3=0
\Delta=4+60=64
y_1=\frac{-2-8}{10}=-1
y_2=\frac{-2+8}{10}=0,6
x_1=2-3*(-1)=2+3=5
x_2=2-3y=2-3*0,6=2-1,8=0,2
A=(5;-1), B=(0,2;0,6)
|AB|=\sqrt{(0.2-5)^2+(0,6+1)^2}=\sqrt{23,04+1,96}=\sqrt{25}=5