Question Number 83477 by M±th+et£s last updated on 02/Mar/20
$${a}^{{b}} +{b}^{{a}} =\mathrm{1}\:\:\:{a}=?\:,\:{b}=? \\ $$$${a}\neq{b}\neq\mathrm{0} \\ $$
Commented by mr W last updated on 03/Mar/20
$${if}\:{a},{b}\in{R},\:{then}\:{i}\:{think}\:{there}\:{is}\:{no} \\ $$$${solution}\:{for}\:{a}\neq{b}\neq\mathrm{0}. \\ $$