Equation of the hyperbola with eccentricity \(\frac{3}{2}\) and foci at (± 2, 0) is 5x2 - 4y2 = k2. What is the value of k?

1
\(\frac{4}{2}\)
2
\(\frac{3}{4}\)
3
\(\left(\frac{4}{3}\right)\sqrt{5}\)
4
\(\left(\frac{3}{4}\right)\sqrt{5}\)
5
Not Attempted

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