If a = \(\frac{\sqrt{x^5} + \sqrt{x^5 + 1} }{\sqrt{x^5} - \sqrt{x^5 + 1} } + \frac{\sqrt{x^5} - \sqrt{x^5 + 1} }{\sqrt{x^5} + \sqrt{x^5 + 1} } \), then find the value of a + 4x⁵ + 4.