If x4 + \(\frac{1}{x^4}\) = 27887, the positive value of x + \(\frac{1}{x}\) is?
Answer & explanation
Correct answer: option 3
x4 + \(\frac{1}{x^4}\) = 27887
x2 + \(\frac{1}{x^2}\) = \(\sqrt {27887 + 2}\) = 167
So, x + \(\frac{1}{x}\) = \(\sqrt {167 + 2}\) = 13