+0

Func. & Ineq.

0
115
1
+148

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

#1
0

The square of the largest real solution is 3/2.

Dec 3, 2019