Question Number 138889 by Algoritm last updated on 19/Apr/21
Commented by MJS_new last updated on 20/Apr/21
$$\mathrm{simply}\:\mathrm{let}\:{t}=\sqrt[{\mathrm{10}}]{{x}}\:\mathrm{and}\:\mathrm{then}\:\mathrm{solve}\:\mathrm{it}. \\ $$$$\mathrm{hint}:\:{t}^{\mathrm{4}} −{t}^{\mathrm{3}} +{t}^{\mathrm{2}} −{t}+\mathrm{1}=\frac{{t}^{\mathrm{5}} +\mathrm{1}}{{t}+\mathrm{1}} \\ $$