If x8 + 1 -119x4 = 0, x > 0, then find ( (x^6 + 1/(x^6))/11 )

Given, x⁸ + 1 - 119x⁴ = 0

taking x⁴ common, then

⇒ x⁴ + \(\frac{1}{x^4}\) = 119

⇒ x² + \(\frac{1}{x^2}\) = \(\sqrt {119 + 2}\) = 11

⇒ x⁶ + \(\frac{1}{x^6}\) = (11)³ - 3 × 11 = 1298

So, (\(\frac{x^6 + \frac{1}{x^6}}{11}\)) = \(\frac{1298}{11}\) = 118