if-x-y-z-gt-0-and-xyz-1-prove-that-x-4-x-yz-y-4-y-zx-z-4-z-xy-3-2-

Question Number 149212 by mathdanisur last updated on 03/Aug/21

i f x; y; z > 0 a n d x y z = 1 p r o v e t h a t :

\frac{x^{4}}{x + y z} + \frac{y^{4}}{y + z x} + \frac{z^{4}}{z + x y} ⩾ \frac{3}{2}

Answered by dumitrel last updated on 03/Aug/21

Commented by mathdanisur last updated on 03/Aug/21

S e r, T h a n k Y o u