Question Number 206839 by efronzo1 last updated on 27/Apr/24
Answered by A5T last updated on 27/Apr/24
$${k}^{\mathrm{3}} +{k}^{\mathrm{2}} +\mathrm{2}{k}+\mathrm{2}\leqslant{k}^{\mathrm{2}} +{k}+\mathrm{300}\Leftrightarrow{k}^{\mathrm{3}} +{k}\leqslant\mathrm{298} \\ $$$$\Rightarrow\mathrm{0}\leqslant{k}\leqslant\mathrm{6};\:{checking}\:{implies}\:{k}=\mathrm{0}\:{or}\:\mathrm{2}. \\ $$$${So},{sum}=\mathrm{2} \\ $$