Question Number 194952 by pascal889 last updated on 20/Jul/23
$$\boldsymbol{\mathrm{x}}\:+\:\sqrt{\mathrm{17}−\boldsymbol{\mathrm{x}}^{\mathrm{2}} }\:\:+\:\boldsymbol{\mathrm{x}}\sqrt{\mathrm{17}−\boldsymbol{\mathrm{x}}^{\mathrm{2}} \:}\:=\mathrm{9} \\ $$$$\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{possible}}\:\boldsymbol{\mathrm{value}}\:\boldsymbol{\mathrm{of}}\:\:\boldsymbol{\mathrm{X}} \\ $$
Answered by Frix last updated on 20/Jul/23
$$\mathrm{Obviously}\:{x}=\mathrm{1}\vee{x}=\mathrm{4} \\ $$$$\mathrm{1}+\mathrm{4}+\mathrm{1}×\mathrm{4}=\mathrm{9} \\ $$$$\mathrm{4}+\mathrm{1}+\mathrm{4}×\mathrm{1}=\mathrm{9} \\ $$