<big>Question:</big><big>What’s the root of:</big>
Solution: Assume:
The Original equation
<=>
<=>
<=>
<=>
<=> ①
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
This post belongs to Column 「论文」 .
Kevin
2021-01-10T06:43:51Z可以可以
Kevin
2021-01-10T06:44:14Z这你还用英语写
Kevin
2021-01-14T04:35:57Z其实这里面有个错误
Miki_Sayaka
Admin Author 2021-01-14T04:39:23Z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 2021-09-18T15:06:15Z令u+p/3u=x,代入解二次方程不香?
wind
2021-09-19T00:21:54Z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 2021-09-19T01:05:21Z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 2021-09-19T04:38:51Z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。