Sole Constraint

Algebra Level 4

Let \(a,b,\) and \(c\) be non-negative real numbers which satisfy \[\frac{1}{a^{2}+1}+\frac{1}{b^{2}+1}+\frac{1}{c^{2}+1}=2.\] Find the maximum value of \(ab+bc+ca.\)

×

Problem Loading...

Note Loading...

Set Loading...