If x + \(\frac{1}{x}\) = 17
then find the value of x - \(\frac{1}{x}\).
Answer & explanation
Correct answer: option 1
⇒ If x + \(\frac{1}{x}\) = a then x - \(\frac{1}{x}\) = \(\sqrt {a^2 - 4}\)
Here,
x + \(\frac{1}{x}\) = 17, then
⇒ x - \(\frac{1}{x}\) = \(\sqrt {17^2 - 4}\) = \(\sqrt {285}\)