2(х-2)+9(х-9)=2(х-9)(х-2)

[latex]2(x-2)+9(x-9)=2(x-9)(x-2)[/latex] [latex]2x-4+9x-81=2x^2-22x+36[/latex] [latex]11x-85=2x^2-22x+36[/latex] [latex]2x^2-33x+121=0[/latex] [latex]D=1089-968=121=11^2 [/latex] [latex]x_{1}= \frac{33+11}{4} = \frac{44}{4} =11[/latex] [latex] x_{2} = \frac{33-11}{4} = \frac{22}{4} =5,5[/latex] Ответ: 11 и 5,5