双曲线的渐近线方程为2x+_3y=0,若双曲线的焦距2根号下3,求双曲线方程

2x-3y=0
y=(2/3)x
b/a=2/3
e=c/a=√[(2/3)^2+1]=√13/3
2c=2√3
c=√3
a=c/e=√3/(√13/3)=3√3/√13
a^2=27/13
b^2=(27/13)(4/9)=12/13
x^2/(27/13)-y^2/(12/13)=1