If the value of x - \(\frac{1}{x}\) = \(\sqrt {1517}\), then find \(\frac{14}{\sqrt {x\;+\;\frac{1}{x}\;+\;10}}\)
Answer & explanation
Correct answer: option 4
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