Solve-x-y-z-R-amp-x-y-z-K-Min-x-4-y-4-z-4-x-2-y-2-Source-Elementary-Ol

Question Number 153340 by mnjuly1970 last updated on 06/Sep/21

Solve . .

x, y, z \in R^{+} & x + y = z

K := {Min}_{} (\frac{x^{4} + y^{4} + z^{4}}{x^{2} y^{2}}) = ?

Source : Elementary Olympid Book m . n

Answered by mr W last updated on 06/Sep/21

s y m m e t r y \Rightarrow x = y = \frac{z}{2}

\Rightarrow m i n = 18

Commented by mnjuly1970 last updated on 06/Sep/21

t h a n k s a l o t m r W \dots