What is the equation of hyperbola

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Given that the equation of asymptotes to the hyperbola be:

$y=\pm\frac{3x}{2}$ and $b=4$

How to find the equation of hyperbola?

I know that asymtotes have the equation $y=\pm\frac{bx}{a}$, comparing and solving we get $a=\frac{8}{3}$

But in the exercise there are two answers given :

$\frac{9x^2}{64}-\frac{y^2}{16}=1$ and $\frac{y^2}{36}-\frac{x^2}{16}=1$.

How are there tw0 answers. Please Help. Thanks.

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HINT

If the given asymptotes are for horizontal hyperbola $$\dfrac{b}{a} = \dfrac{3}{2}$$

otherwise for vertical :

$$\dfrac{a}{b} = \dfrac{3}{2}$$