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If x8 + 1 -119x4 = 0, x > 0, then find (\(\frac{x^6 + \frac{1}{x^6}}{11}\)) |
1 111 118 59 |
118 |
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 |
