Find the eccentricity of the hyperbola `(x^(2))/(a^(2)) - (y^(2))/(b^(2)) = 1` which passes through the points (3, 0) and `(2sqrt(3), (4)/(sqrt(3)))`

Explanation

To find the eccentricity of the hyperbola given by the equation

\[ \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 \]

which passes through the points (3, 0) and \((2\sqrt{3}, \frac{4}{\sqrt{3}})\), we will follow these steps:

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