Not AM-GM

Algebra Level 4

Find the maximum value of  ac+bd+ca+db,\ \frac { a }{ c } + \frac { b }{ d } + \frac { c }{ a } + \frac { d }{ b }, where a,b,c,da,b,c,d vary over all distinct real numbers such that ab+bc+cd+da=4 \frac { a }{ b } + \frac { b }{ c } + \frac { c }{ d } + \frac { d }{ a } = 4 and ac=bdac = bd.

×

Problem Loading...

Note Loading...

Set Loading...