Nope, not \(x=y=z\)

Algebra Level 5

Let \(a, b, c\) be positive reals so that \(3ab+bc+2ca=6\). Find the maximum value of

\[\frac { 1 }{ { a }^{ 2 }+1 } +\frac { 4 }{ { b }^{ 2 }+4 } +\frac { 9 }{ { c }^{ 2 }+9 } \]

Write your answer to 4 decimal places.

×

Problem Loading...

Note Loading...

Set Loading...