If x4 + \(\frac{1}{x^4}\) = 6887
Find x - \(\frac{1}{x}\)
Answer & explanation
Correct answer: option 3
x4 + \(\frac{1}{x^4}\) = 6887
x2 + \(\frac{1}{x^2}\) = \(\sqrt {6887 + 2}\) = 83
So, x - \(\frac{1}{x}\) = \(\sqrt {83 - 2}\) = 9
If x4 + \(\frac{1}{x^4}\) = 6887
Find x - \(\frac{1}{x}\)
Correct answer: option 3
x4 + \(\frac{1}{x^4}\) = 6887
x2 + \(\frac{1}{x^2}\) = \(\sqrt {6887 + 2}\) = 83
So, x - \(\frac{1}{x}\) = \(\sqrt {83 - 2}\) = 9