解:双曲线5x^2-6y^2=30,即x^2/[√(1/6)]^2-y^2/[√(1/5)]^2=1∴a=√6/6,b=√5/5,c=√(11/30)∴实轴=2a=√6/3,虚轴=2b=2√5/5,e=c/a=√(11/5),渐进线为y=±bx/a=±x√(6/5)