<big>Question</big><big>What’s the root of:</big>

Solution: Assume:

The Original equation

<=>

<=>

<=>

<=>

<=>

Let:

  • <=>

U,V are the two roots of the equation:

<=>

<=>

<=>

This is the real root of this equation.

Every cubic equations only has one real root.

When it comes to the range of complex numbers, we have another two roots.

Conclusion: the three roots of the cubic equation:  is

Author: Voyager2 Bob Yao

 

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8 comments
latest

  • Kevin

    可以可以

  • Kevin

    这你还用英语写

  • Kevin

    其实这里面有个错误

  • Miki_Sayaka
    Admin Author
    Kevin:
    其实这里面有个错误

    是的呢 勘误:Every cubic equations only has one real root.这一句改为Every cubic equations has at least one real root

  • rice0208
    Admin

    令u+p/3u=x,代入解二次方程不香?

  • wind
    rice0208:

    令u+p/3u=x,代入解二次方程不香?

    这两种其实都可以解,但是u+p。3u=x好像是官方的推法

  • Miki_Sayaka
    Admin Author
    rice0208:

    令u+p/3u=x,代入解二次方程不香?

    确实可以,但这它不优美,你不觉得这就不对称了吗

  • rice0208
    Admin
    Miki_Sayaka:

    确实可以,但这它不优美,你不觉得这就不对称了吗

    额……好好好……不错不错。