Practicing Success
If x8 + 1 - 34x4 = 0, x > 0, then find (\(\frac{x^6 + \frac{1}{x^6}}{2}\)) |
198 188 99 100 |
99 |
Given, x8 + 1 - 34x4 = 0 taking x4 common, then ⇒ x4 + \(\frac{1}{x^4}\) = 34 ⇒ x2 + \(\frac{1}{x^2}\) = \(\sqrt {34 + 2}\) = 6 ⇒ x6 + \(\frac{1}{x^6}\) = (6)3 - 3 × 6 = 198 So, (\(\frac{x^6 + \frac{1}{x^6}}{2}\)) = \(\frac{198}{2}\) = 99 |