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