If the value of x - \(\frac{1}{x}\) = \(\sqrt {1517}\), then find \(\frac{14}{\sqrt {x\;+\;\frac{1}{x}\;+\;10}}\)

0 7 14 2

2

If x - \(\frac{1}{x}\) = \(\sqrt {1517}\) then x + \(\frac{1}{x}\) = \(\sqrt{(\sqrt{1517})^{2}\;+\;4}\) = 39 Now, \(\frac{14}{\sqrt {x\;+\;\frac{1}{x}\;+\;10}}\) = \(\frac{14}{\sqrt {39\;+\;10}}\) = 2