Question Number 222007 by klipto last updated on 14/Jun/25

$$\boldsymbol{\mathrm{x}}\sqrt{\mathrm{1}+\boldsymbol{\mathrm{x}}^{\mathrm{2}} }+\boldsymbol{\mathrm{log}}\left(\boldsymbol{\mathrm{x}}+\sqrt{\mathrm{1}+\boldsymbol{\mathrm{x}}^{\mathrm{2}} }\right)=\mathrm{12}.\mathrm{5} \\ $$$$\mathrm{find}\:\boldsymbol{\mathrm{x}}^{\mathrm{2}} \:\left(\mathrm{answer}\:\mathrm{should}\:\mathrm{not}\:\mathrm{be}\:\mathrm{in}\:\mathrm{decimal}\right) \\ $$
Commented by AntonCWX8 last updated on 15/Jun/25

$${Do}\:{you}\:{mean}\:{to}\:{find}\:{a}\:{close}\:{form}? \\ $$
Commented by klipto last updated on 15/Jun/25

$$\boldsymbol{\mathrm{yes}} \\ $$
Commented by AntonCWX8 last updated on 15/Jun/25

$${Also},\:{do}\:{you}\:{mean}\:{log}_{\mathrm{10}} \:{or}\:{ln}? \\ $$$${Just}\:{to}\:{make}\:{sure} \\ $$
Commented by klipto last updated on 15/Jun/25

$$\boldsymbol{\mathrm{log}}_{\mathrm{10}} \\ $$
Commented by AntonCWX8 last updated on 15/Jun/25

$${Right}. \\ $$