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Question Number 138889 by Algoritm last updated on 19/Apr/21

Commented by MJS_new last updated on 20/Apr/21

simply let t=(x)^(1/(10))  and then solve it.  hint: t^4 −t^3 +t^2 −t+1=((t^5 +1)/(t+1))

$$\mathrm{simply}\:\mathrm{let}\:{t}=\sqrt[{\mathrm{10}}]{{x}}\:\mathrm{and}\:\mathrm{then}\:\mathrm{solve}\:\mathrm{it}. \\ $$$$\mathrm{hint}:\:{t}^{\mathrm{4}} −{t}^{\mathrm{3}} +{t}^{\mathrm{2}} −{t}+\mathrm{1}=\frac{{t}^{\mathrm{5}} +\mathrm{1}}{{t}+\mathrm{1}} \\ $$

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