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Question Number 201854 by cortano12 last updated on 14/Dec/23

Commented by cortano12 last updated on 14/Dec/23

$$\{\begin{array}{l}{\mathrm{x}}^2-{3\mathrm{y}}^2=\frac{17}{\mathrm{x}}\\ {3\mathrm{x}}^2-{\mathrm{y}}^2=\frac{23}{\mathrm{y}}\end{array}$$$${\mathrm{x}}^2+{\mathrm{y}}^2=\sqrt[\mathrm{m}]{\mathrm{n}},\mathrm{m},\mathrm{n}\in {\mathbb{Z}}^{+}$$$$\mathrm{m}+\mathrm{n}=?$$

Commented by Frix last updated on 14/Dec/23

$$x^2+y^2=\sqrt[3]{{17}^2+{23}^2}=\sqrt[3]{818}$$$$3+818=821$$

Commented by cortano12 last updated on 14/Dec/23

$$\mathrm{by}\mathrm{complex}\mathrm{number}$$

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