Question Number 66399 by Rio Michael last updated on 14/Aug/19
$${Show}\:{that}\:{for}\:{all}\:{real} \\ $$$${values}\:{of}\:{x};\: \\ $$$$\:\:{x}^{\frac{\mathrm{2}}{\mathrm{3}}} \:+\:\mathrm{6}{x}^{\frac{\mathrm{1}}{\mathrm{3}}} \:+\:\mathrm{10}\:>\mathrm{0} \\ $$
Commented by kaivan.ahmadi last updated on 14/Aug/19
$$=\left({x}^{\frac{\mathrm{1}}{\mathrm{3}}} +\mathrm{3}\right)^{\mathrm{2}} +\mathrm{1}>\mathrm{0} \\ $$$$ \\ $$