math+check!

okay so the question is as follows:
determien the standard form of the equation of a hyperbola with vertices(+or- 2,0) and passing through (4,3)

is this right?
x^2/2^2 - y^2/b^2 =1
Since P(4,3) passes through, the x and y coordinates satisfy the equation:

4^2/2^2 - 3^2/b^2 =1

b^2=3


thus the equation is
x^2/4 -y^2/3=1

is this right?


I see no errors.

thank you!

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