Question Number 155023 by ajfour last updated on 24/Sep/21
Commented by ajfour last updated on 24/Sep/21
$${The}\:{blue}\:{area}\:{is}\:{equal}\:{to}\:{the} \\ $$$${brown}\:{area}.\:{Find}\:{x}\:{in}\:{terms} \\ $$$${of}\:{c}. \\ $$
Commented by benjo_mathlover last updated on 25/Sep/21
$$\Leftrightarrow\:\mathrm{x}\:=\:\frac{\sqrt[{\mathrm{3}}]{\sqrt{\mathrm{3}}\:\sqrt{\mathrm{2}+\mathrm{c}^{\mathrm{2}} +\mathrm{4}}\:+\mathrm{9c}}}{\:\sqrt[{\mathrm{3}}]{\mathrm{18}}}\:−\:\frac{\sqrt[{\mathrm{3}}]{\mathrm{2}}}{\:\sqrt[{\mathrm{3}}]{\mathrm{3}\sqrt{\mathrm{3}}\:\sqrt{\mathrm{27c}^{\mathrm{2}} +\mathrm{4}}\:+\mathrm{27c}}}\: \\ $$
Answered by mahdipoor last updated on 24/Sep/21
$${x}^{\mathrm{3}} +{x}={c} \\ $$