X^3-3X^2+4=0
问题描述:
X^3-3X^2+4=0
x^3-3x^2+4=x^3+1-3x^2+3
=(x^+1)(x^2+x+1)-3(x-1)(x+1)
=(x+1)(x^2+x+1-3x+3)
=(x+1)(x^2-4x+4)=(x+1)(x-2)^2=0
本人数学基础很差,我想知道那个是怎么解出来的,以上是我抄老师的板书
答
找错了,应为:
x^3-3x^2+4=x^3+1-3x^2+3
=(x^+1)(x^2-x+1)-3(x-1)(x+1)
=(x+1)(x^2-x+1-3x+3)
=(x+1)(x^2-4x+4)
=(x+1)(x-2)^2=0难道是我板书抄错了?=(x^+1)(x^2-x+1)-3(x-1)(x+1)这步是怎么来的?x^3+1=(x^2+1)(x^2-x+1)
x^3+1≠(x^+1)(x^2+x+1)这是公式吗?