If x4 + \(\frac{1}{x^4}\) = 15127, the positive value of x - \(\frac{1}{x}\) is?
Answer & explanation
Correct answer: option 2
x4 + \(\frac{1}{x^4}\) = 15127
x2 + \(\frac{1}{x^2}\) = \(\sqrt {15127 + 2}\) = 123
So, x - \(\frac{1}{x}\) = \(\sqrt {123 - 2}\) = 11