If x - \(\frac{1}{x}\) = 5\(\sqrt{2}\) then find the value of ( x + \(\frac{1}{x}\) ) |
\(\sqrt{54}\) \(\sqrt{55}\) 8 \(\sqrt{51}\) |
\(\sqrt{54}\) |
⇒ If x - \(\frac{1}{x}\) = a then x + \(\frac{1}{x}\) = \(\sqrt {a^2 + 4}\) Here, x - \(\frac{1}{x}\) = 5\(\sqrt{2}\), then ⇒ x + \(\frac{1}{x}\) = \(\sqrt {(5\sqrt{2})^2 + 4}\) = \(\sqrt{54}\) |