17 БАЛЛОВ [latex] \frac{3x-5}{x^2-1} = \frac{3x+2}{x^2+x} - \frac{6x-5}{x^2-x} [/latex]

[latex] \frac{3x-5}{x^2-1} = \frac{3x+2}{x^2+x} - \frac{6x-5}{x^2-x} [/latex] [latex] \frac{3x-5}{(x-1)(x+1)} - \frac{3x+2}{x(x+1)}+ \frac{6x-5}{x(x-1)}=0 [/latex] [latex] \frac{x(3x-5)-(3x+2)(x-1)+(6x-5)(x+1)}{x(x-1)(x+1)} =0 [/latex] ОДЗ: [latex]x \neq 0[/latex]       [latex]x \neq 1[/latex] [latex]x \neq -1[/latex] [latex]{x(3x-5)-(3x+2)(x-1)+(6x-5)(x+1)}=0 [/latex] [latex]3x^2-5x-(3x^2-3x+2x-2)+6x^2+6x-5x-5}=0 [/latex] [latex]3x^2-5x-(3x^2-x-2)+6x^2+x-5}=0 [/latex] [latex]3x^2-5x-3x^2+x+2+6x^2+x-5}=0 [/latex] [latex]6x^2-3x-3=0 [/latex] [latex]2x^2-x-1=0 [/latex] [latex]D=(-1)^2-4*2*(-1)=9[/latex] [latex]x_1= \frac{1+3}{4}=1 [/latex]  ∅ [latex]x_2= \frac{1-3}{4} =-0.5[/latex] Ответ: -0.5