RMO 2016

Algebra Level 4

Let \(a\), \(b\), and \(c\) be positive real numbers such that \[\large \frac{a}{1+b} + \frac{b}{1 + c} + \frac{c}{1 + a} = 1\] What is the maximum value of \(abc\)?

×

Problem Loading...

Note Loading...

Set Loading...