Question 860016
Find the equations of the hyperbola satisfying the given conditions. 
Asymptotes y=3/2x and y=-3/2x, and one vertex (2,0).
***
given hyperbola has a horizontal transverse axis with center at origin.
Its standard form of equation: {{{x^2/a^2-y^2/b^2=1}}}
a=2
a^2=4
slopes of asymptotes=±3/2=b/a
b=±3a/2=±3
b^2=9
Equation of given hyperbola:  {{{x^2/4-y^2/9=1}}}