Solve-for-real-numbers-5-1-z-1-5-1-z-1-5-2-4-1-z-1-4-1-z-1-4-

Question Number 141654 by mathsuji last updated on 21/May/21

$${Solve}\:{for}\:{real}\:{numbers} \\ $$$$\mathrm{5}\centerdot\left(\sqrt[{\mathrm{5}}]{\mathrm{1}−{z}}\:+\:\sqrt[{\mathrm{5}}]{\mathrm{1}+{z}}\:=\:\mathrm{2}+\mathrm{4}\centerdot\left(\sqrt[{\mathrm{4}}]{\mathrm{1}−{z}}\:+\:\sqrt[{\mathrm{4}}]{\mathrm{1}+{z}}\right)\right. \\ $$

Commented by MJS_new last updated on 22/May/21

$$\mathrm{only}\:\mathrm{solution}\:\mathrm{is}\:{z}=\mathrm{0} \\ $$

Commented by mathsuji last updated on 22/May/21

$${solutions}\:{sir}\:{pliz} \\ $$

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