Решите уравнение: 1)x^3-6x^2=6-x 2)y^3+3y^2-4y-12=0 3)2x^3-x^2-18x+9

1)[latex] x^{3} -6 x^{2} =6-x[/latex]   [latex]x^3-6x^2+x-6=0[/latex]   [latex]x^3+x=6x^2+6[/latex]  [latex]x(x^2+1)=6(x^2+1)[/latex]  [latex] \frac{x(x^2+1)}{(x^2+1)}=6 [/latex]   [latex]x=6[/latex]   Ответ: [latex]6[/latex] 2)[latex]y^3 +3y^2-4y-12=0[/latex]   [latex]y^3+3y^2=12+4y[/latex]   [latex]y^2(y+3)=4(3+y)[/latex]   [latex] \frac{y^2(y+3)}{(3+y)}=4 [/latex]   [latex]y^2=4[/latex]   [latex]y=2[/latex]   Ответ: [latex]2[/latex]     3)[latex]2x^3-x^2-18x+9=0[/latex]   [latex]2x^3-x^2=18x-9[/latex]   [latex]x^2(2x-1)=9(2x-1)[/latex]   [latex] \frac{x^2(2x-1)}{(2x-1)} =9[/latex]   [latex]x^2=9[/latex] [latex]x=3[/latex] Ответ: [latex]3[/latex]