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Question Number 199659 by cherokeesay last updated on 06/Nov/23

Answered by Frix last updated on 07/Nov/23

$$\mathrm{If}\mathrm{we}\mathrm{stay}\mathrm{in}\mathbb{R}\Rightarrow \sqrt[3]{-r}=-\sqrt[3]{r}$$$$\mathrm{Obvious}\mathrm{solutions}$$$$x=-1\vee x=0$$$$\mathrm{Not}\mathrm{so}\mathrm{obvious}\mathrm{solutions}$$$$x=\frac{1}{2}\pm \frac{\sqrt{5}}{2}$$$$\mathrm{The}\mathrm{method}\mathrm{is}:{\mathrm{don}}^{\prime }\mathrm{t}\mathrm{believe}\mathrm{what}\mathrm{you}\mathrm{see},$$$$\mathrm{try}\mathrm{nice}\mathrm{numbers}\mathrm{first}.$$

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