x^3+6x^2+11x+6=0,解这个方程.

分类: 作业答案 • 2022-09-27 16:47:00

问题描述：

答

x^3+6x^2+11x+6=0
(1 + x) (2 + x) (3 + x) == 0
x=-1 x=-2 x=-3

答

x^3+6x^2+11x+6=0
(x^3-x)+(6x^2+12x+6)=0
x(x+1)(x-1)+6(x+1)^2=0
(x+1)(x^2-x+6x+6)=0
(x+1)(x^2+5x+6)+0
(x+1)(x+2)(x+3)=0
x=-1,x=-2,x=-3