Question Number 166053 by neinhaltsieger last updated on 12/Feb/22
$$\:\boldsymbol{\mathrm{Find}}\:\:\boldsymbol{\mathrm{x}}\:\:\boldsymbol{\mathrm{in}}\:\:\mathbb{R}\overset{\:} {:} \\ $$$$\: \\ $$$$\:\boldsymbol{\mathrm{x}}^{\sqrt{\mathrm{2}}} \:\:+\:\:\boldsymbol{\mathrm{x}}\:\:=\:\:\mathrm{6}\:\:\:\:\:\left(\boldsymbol{\mathrm{How}}\:\:\boldsymbol{\mathrm{to}}\:\:\boldsymbol{\mathrm{solve}}?\right) \\ $$
Commented by MJS_new last updated on 12/Feb/22
$$\mathrm{you}\:\mathrm{can}\:\mathrm{only}\:\mathrm{approximate} \\ $$
Answered by phanphuoc last updated on 12/Feb/22
$${you}\:{can}\:{apply}\:\:{monotone}\:{function}. \\ $$
Commented by neinhaltsieger last updated on 13/Feb/22
$$\: \\ $$$$\:\mathrm{Y}\:\mathrm{definitely}\:\mathrm{don}'\mathrm{t}\:\mathrm{know}\:\mathrm{how}\:\mathrm{to}\:\mathrm{fix}\:\mathrm{it}. \\ $$