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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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