特征方程怎么解?举个例子,x︿3-6x︿2+11x-6=0怎么解?

2024-12-19 10:05:47
推荐回答(2个)
回答1:

x^3-6x^2+11x-6=0
x^3-6x^2+9x+2x-6=0
x(x-3)^2+2(x-3)=0
(x-3)(x(x-3)+2)=0
(x-1)(x-2)(x-3)=0,x=1,2,3

回答2:

x^3-6x^2+11x-6
=x^3-2x^2-4x^2+8x+3x-6
=(x-2)(x^2-4x+3)
=(x-2)(x-1)(x-3)
x=1,2,3