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x-3-5x-6-0-x-




Question Number 175739 by cortano1 last updated on 06/Sep/22
 x^3 −5x−6=0   x=?
$$\:\mathrm{x}^{\mathrm{3}} −\mathrm{5x}−\mathrm{6}=\mathrm{0} \\ $$$$\:\mathrm{x}=? \\ $$
Commented by mr W last updated on 06/Sep/22
cortano should know cardano:  x=((((√(354))/9)+3))^(1/3) −((((√(354))/9)−3))^(1/3)
$$\boldsymbol{{cortano}}\:{should}\:{know}\:\boldsymbol{{cardano}}: \\ $$$${x}=\sqrt[{\mathrm{3}}]{\frac{\sqrt{\mathrm{354}}}{\mathrm{9}}+\mathrm{3}}−\sqrt[{\mathrm{3}}]{\frac{\sqrt{\mathrm{354}}}{\mathrm{9}}−\mathrm{3}} \\ $$
Commented by cortano1 last updated on 06/Sep/22
hahaha  i gotx=((3+(√((118)/(27)))))^(1/3) +((3−(√((118)/(27)))))^(1/3)
$$\mathrm{hahaha} \\ $$$$\mathrm{i}\:\mathrm{gotx}=\sqrt[{\mathrm{3}}]{\mathrm{3}+\sqrt{\frac{\mathrm{118}}{\mathrm{27}}}}+\sqrt[{\mathrm{3}}]{\mathrm{3}−\sqrt{\frac{\mathrm{118}}{\mathrm{27}}}} \\ $$

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