[tex]\\a+3=a\sqrt3 \\a-a\sqrt3=-3 \\a(1-\sqrt3)=-3/:(1-\sqrt3) \\a=\frac{-3(1+\sqrt3)}{(1-\sqrt3)(1+\sqrt3)}=\frac{-3(1+\sqrt3)}{1-3} \\a=1,5(1+\sqrt3)[/tex]