If x4 + \(\frac{1}{x^4}\) = 106274 Find x - \(\frac{1}{x}\) + 5

22 23 24 25

23

x4 + \(\frac{1}{x^4}\) = 106274 x2 + \(\frac{1}{x^2}\) = \(\sqrt {106274 + 2}\) = 326 So, x - \(\frac{1}{x}\) = \(\sqrt {326 - 2}\) +5 = 18 +5 = 23