Question Number 161566 by HongKing last updated on 19/Dec/21 | ||
$$\mathrm{if}\:\:\mathrm{x};\mathrm{y};\mathrm{z}>\mathrm{0}\:\:\mathrm{then}\:\mathrm{prove}\:\mathrm{that}: \\ $$ $$\Sigma\:\frac{\mathrm{x}}{\:\sqrt[{\mathrm{3}}]{\mathrm{y}^{\mathrm{3}} \:+\:\mathrm{25xyz}\:+\:\mathrm{z}^{\mathrm{3}} }}\:\geqslant\:\mathrm{1} \\ $$ | ||