X^{2} -3х+2  = 0----------------    х(х-1)

x^{2} -3х+2  = 0 ----------------     х(х-1) (х-1)(х-2)    = 0 ----------------     х(х-1) x=2

[latex] (x^{2} -3x+2)/x(x-1)=0[/latex] [latex] \left \{ {{ x^{2} -3x+2=0} \atop {x(x-1) \neq 0}} \right. [/latex] [latex] x^{2} -3x+2=0[/latex] [latex]D= (-3)^{2} -4*2=9-8=1[/latex] [latex] x_{1} =(3+1)/2=4/2=2[/latex] [latex] x_{2} =(3-1)/2=2/2=1[/latex] [latex]x \neq 0[/latex] или [latex]x-1 \neq[/latex] [latex]x \neq 1[/latex] [latex] \left \{ {{x=2;1} \atop {x \neq 0;1}} \right. [/latex] Ответ: [latex] x=2[/latex]