If x + \(\frac{1}{x}\) = 12
then find the value of x - \(\frac{1}{x}\).
Answer & explanation
Correct answer: option 3
⇒ If x + \(\frac{1}{x}\) = a then x - \(\frac{1}{x}\) = \(\sqrt {a^2 - 4}\)
Here,
x + \(\frac{1}{x}\) = 12, then
⇒ x - \(\frac{1}{x}\) = \(\sqrt {12^2 - 4}\) = 2\(\sqrt {35 }\)