If x + \(\frac{1}{x}\) = 12 then find the value of  x - \(\frac{1}{x}\).

35\(\sqrt {3 }\) 4\(\sqrt {35 }\) 2\(\sqrt {35 }\) 2\(\sqrt {37 }\)

2\(\sqrt {35 }\)

⇒ 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\(\sqrt {35 }\)