SOLUTION: Find the equations of the hyperbola satisfying the given conditions. Asymptotes y=3/2x and y=-3/2x, and one vertex (2,0). Please help! I have a test tomorrow and have no ide

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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).
Please help! I have a test tomorrow and have no idea how to solve this kind of problem! Thanks!

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
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:
a=2
a^2=4
slopes of asymptotes=±3/2=b/a
b=±3a/2=±3
b^2=9
Equation of given hyperbola:

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