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
\(\textcolor{purple}{ (g(x))^2 - (f(x))^2 = \tfrac54}\)
The square of the largest real solution is 3/2.
+143 
