Careful with AM-GM!

Algebra Level 5

Let \(x_1, x_2, x_3, x_4\) be distinct real numbers such that \(x_1 x_3 = x_2 x_4\) and \[\frac{x_1}{x_2}+\frac{x_2}{x_3}+\frac{x_3}{x_4}+\frac{x_4}{x_1}=4\]

Find the maximum value of \[\frac{x_1}{x_3}+\frac{x_2}{x_4}+\frac{x_3}{x_1}+\frac{x_4}{x_2}\].

×

Problem Loading...

Note Loading...

Set Loading...