解:
$a=2,$$b=-4\sqrt{3},$$c=3,$
$\Delta = (-4\sqrt{3})^2 - 4×2×3 = 48-24=24>0$
$\therefore x=\frac{4\sqrt{3}\pm\sqrt{24}}{2×2}=\frac{4\sqrt{3}\pm2\sqrt{6}}{4}=\frac{2\sqrt{3}\pm\sqrt{6}}{2}$
$\therefore x_1=\frac{2\sqrt{3}+\sqrt{6}}{2},$$x_2=\frac{2\sqrt{3}-\sqrt{6}}{2}$