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# Func. & Ineq.

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Define

$$\textcolor{blue}{f(x) = \frac{1}{x + \frac{1}{x}}}$$

and

$$\textcolor{green}{g(x) = \frac{1}{x - \frac{1}{x}}}$$

Find the square of the largest real solution to the equation

$$\textcolor{purple}{ (g(x))^2 - (f(x))^2 = \tfrac54}$$

Dec 1, 2019