If x + \(\frac{1}{x}\) = 15
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 + \(\frac{1}{x}\) = 15, then
⇒ x - \(\frac{1}{x}\) = \(\sqrt {(15^2 - 4}\) = \(\sqrt {221}\)