√3x+2y-6=0
y=3-√3x/2
y^2=2√3x
(3-√3x/2)^2=2√3x
9-3√3x+3x^2/4=2√3x
3x^2-20√3x+36=0
3(x-10√3/3)^2=100-36
x-10√3/3=8√3/3 或 x-10√3/3=-8√3/3
x1=2√3 或 x2=2√3/3
y1=0 y2=2
|AO|=2√3 |BO|=4/√3
|AB|^2=((4/√3)^2+4)=(16+12)/3=28/3
cosAOB=(|AO|^2+|BO|^2-|AB|^2)/2|AOBO|
=(12+16/3-28/3)/16=1/2
角AOB=60