Question Number 99892 by Dwaipayan Shikari last updated on 23/Jun/20
$${solve}\:{the}\:{equation} \\ $$$${xa}^{\frac{\mathrm{1}}{{x}}} +\frac{\mathrm{1}}{{x}}{a}^{{x}} =\mathrm{2}{a} \\ $$$${Where}\:{a}\left\{−\mathrm{1},\mathrm{0},\mathrm{1}\right\} \\ $$