Everything that kills me makes me feel alive

Algebra Level 4

\[\large\sum_{\text{cyc}\{a,b,c\}}\left( \dfrac{a}{b}\right) + \dfrac{3k\sqrt[3]{abc}}{\displaystyle\sum_{\text{cyc}} a} \geq 5\]

If \(a,b\) and \(c\) are positive numbers such that equation above is true, find the value of \(k\).

×

Problem Loading...

Note Loading...

Set Loading...