X^2+xy-y^2=11
x=1+2y
(1+2y)^2+(1+2y)y-y^2=11
1+4y+4y^2+y+2y^2-y^2=11
1+5y+5y^2=11
1+5y+5y^2-11=0
-10+5y+5y^2=0
-5(2-y-y^2)=0
-5(-y^2-y+2)=0
-5(-y^2+y-2y+2)=0
-5(-y*(y-1)-2(y-1))=0
-5(-y-2)*(y-1)=0
(-y-2)*(y-1)=0
-y-2=0
y-1=0
y=-2
y=1
x=1+2*(-2)
x=1+2*1
x=-3
x=3
(x1,y1)=(-3,-2)
(x2,y2)=(3,1)
(-3)^2-3*(-2)-(-2)^2=11
-3-2*(-2)=1
3^2+3*1-1^2=11
3-2*1=1
11=11
1=1
11=11
1=1
(x1,y1)=(-3,-2)
(x2,y2)=(3,1)