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Question Number 134461 by pticantor last updated on 04/Mar/21

$$soit\left(\mathit{E}\right)l^{\prime }equationcomplex:$$$${\mathit{z}}^2-2\mathit{p}\mathit{z}-\mathit{q}=0$$$$\mathit{p},\mathit{q}\in \mathbb{C}$$$$\mathit{l}\mathit{e}\mathit{t}\mathit{u}\in \mathbb{C}\mathrm{\setminus }{\mathit{u}}^2=\mathit{q}$$$$\mathit{s}\mathit{h}\mathit{o}\mathit{w}\mathit{t}\mathit{h}\mathit{a}\mathit{t}\mathit{i}\mathit{f}{\mathit{z}}_1,{\mathit{z}}_2\mathit{a}\mathit{r}\mathit{e}\mathit{s}\mathit{o}\mathit{l}\mathit{u}\mathit{t}\mathit{i}\mathit{o}\mathit{n}\mathit{s}\mathit{o}\mathit{f}\left(\mathit{E}\right),$$$$\mid {\mathit{z}}_1\mid +\mid {\mathit{z}}_2\mid =\mid \mathit{p}+\mathit{u}\mid +\mid \mathit{p}-\mathit{u}\mid$$

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