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[tex]\\ \rm\rightarrowtail x^2-2x+1=0[/tex]
[tex]\\ \rm\rightarrowtail x^2-x-x+1=0[/tex]
[tex]\\ \rm\rightarrowtail x(x-1)-1(x-1)=0[/tex]
[tex]\\ \rm\rightarrowtail (x-1)(x-1)=0[/tex]
[tex]\\ \rm\rightarrowtail x=1[/tex]