Question Number 158908 by mathlove last updated on 10/Nov/21
Answered by amin96 last updated on 10/Nov/21
$$\mathrm{2}−\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}}=\boldsymbol{\mathrm{x}}\:\:\Rightarrow\:\mathrm{2}\boldsymbol{\mathrm{x}}−\mathrm{1}=\boldsymbol{\mathrm{x}}^{\mathrm{2}} \:\:\Rightarrow\boldsymbol{\mathrm{x}}^{\mathrm{2}} −\mathrm{2}\boldsymbol{\mathrm{x}}+\mathrm{1}=\mathrm{0}\:\: \\ $$$$\left(\boldsymbol{\mathrm{x}}−\mathrm{1}\right)^{\mathrm{2}} =\mathrm{0}\:\:\:\Rightarrow\:\:\boldsymbol{\mathrm{x}}=\mathrm{1} \\ $$