Question

高数，这个简单的方程怎么解？

过程

Answer 1

x^3-6x^2+11x-6=0

f(x)=x^3-6x^2+11x-6
f(1)=0
x^3-6x^2+11x-6 =(x-1)(x^2+ax+6)
coef. of x
6-a=11
a=-5
x^3-6x^2+11x-6
=(x-1)(x^2-5x+6)
=(x-1)(x-2)(x-3)
x^3-6x^2+11x-6=0
(x-1)(x-2)(x-3)=0
x=1 or 2 or 3