Cool Inequality #2 Promotion

Algebra Level 5

\[\large{\left(\sum _{ i=1 }^{ 3 }{ \frac { \sqrt{6x_{1}x_{2}x_{3}} }{ 6{ x }_{ i } } }\right)^{4}} \]

If \(x_{1},x_{2},x_{3} > 0\) such that \(\displaystyle\sum_{\text{cyclic} }^{ }{ ({ x }_{ 1 }\times { x }_{ 2 })^{2} } = 6x_{1}x_{2}x_{3}\). Find the maximum value of the expression above.

×

Problem Loading...

Note Loading...

Set Loading...