Will triangle inequality work ?

Algebra Level 3

Find the minimum real number kk such that

(x+y+z)2(xy+yz+zx)2k(x2+xy+y2)(y2+yz+z2)(z2+zx+x2)(x+y+z)^{2}(xy +yz +zx)^{2}≤k(x^2+xy +y^2)(y^2+yz+z^2)(z^2+zx+x^2) where x,y,zx,y,z are positive real numbers.

×

Problem Loading...

Note Loading...

Set Loading...