Răspuns :
[tex]\underbrace{\frac{1}{x}+\frac{1}{x-1}}_{\frac{\not{x}-1+\not{x}}{x(x-1)}}=\frac{2}{x+1}[/tex]
[tex](-1)\cdot{(x+1)}=2\cdot{x}(x-1)\\ -x-1=2x^2-2x\\ 2x^2-x+1=0\;\;;\;\;\Delta=(-1)^2-4\cdot2\cdot1=1-8\;\ \textless \ \;0\;\\ \rightarrow\;nu \,avem\, solutii\, in\, multimea \,\mathbb{R}[/tex]
[tex](-1)\cdot{(x+1)}=2\cdot{x}(x-1)\\ -x-1=2x^2-2x\\ 2x^2-x+1=0\;\;;\;\;\Delta=(-1)^2-4\cdot2\cdot1=1-8\;\ \textless \ \;0\;\\ \rightarrow\;nu \,avem\, solutii\, in\, multimea \,\mathbb{R}[/tex]