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x-1-x-2-log-x-1-x-2-12-5-find-x-2-answer-should-not-be-in-decimal-




Question Number 222007 by klipto last updated on 14/Jun/25
x(√(1+x^2 ))+log(x+(√(1+x^2 )))=12.5  find x^2  (answer should not be in decimal)
$$\boldsymbol{\mathrm{x}}\sqrt{\mathrm{1}+\boldsymbol{\mathrm{x}}^{\mathrm{2}} }+\boldsymbol{\mathrm{log}}\left(\boldsymbol{\mathrm{x}}+\sqrt{\mathrm{1}+\boldsymbol{\mathrm{x}}^{\mathrm{2}} }\right)=\mathrm{12}.\mathrm{5} \\ $$$$\mathrm{find}\:\boldsymbol{\mathrm{x}}^{\mathrm{2}} \:\left(\mathrm{answer}\:\mathrm{should}\:\mathrm{not}\:\mathrm{be}\:\mathrm{in}\:\mathrm{decimal}\right) \\ $$
Commented by AntonCWX8 last updated on 15/Jun/25
Do you mean to find a close form?
$${Do}\:{you}\:{mean}\:{to}\:{find}\:{a}\:{close}\:{form}? \\ $$
Commented by klipto last updated on 15/Jun/25
yes
$$\boldsymbol{\mathrm{yes}} \\ $$
Commented by AntonCWX8 last updated on 15/Jun/25
Also, do you mean log_(10)  or ln?  Just to make sure
$${Also},\:{do}\:{you}\:{mean}\:{log}_{\mathrm{10}} \:{or}\:{ln}? \\ $$$${Just}\:{to}\:{make}\:{sure} \\ $$
Commented by klipto last updated on 15/Jun/25
log_(10)
$$\boldsymbol{\mathrm{log}}_{\mathrm{10}} \\ $$
Commented by AntonCWX8 last updated on 15/Jun/25
Right.
$${Right}. \\ $$

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