Easier than it looks :)

Algebra Level 2

Given that a1,a2,a3,a4>0a_1,a_2,a_3,a_4 > 0, find the maximum constant NN for which the following inequality always holds true:

a1a2(a32+a42)+a3a4(a12+a22)a1a2a3a4N.\frac{a_1a_2(a_3^2+a_4^2)+a_3a_4(a_1^2+a_2^2)}{a_1a_2a_3a_4} \geq N.

×

Problem Loading...

Note Loading...

Set Loading...