解一个三次方程！

yefan852 · 发表于 2010-1-19 18:12:03

本帖最后由石崇的BOSS 于 2010-1-20 00:55 编辑

16x³-12x+√6-√2=0

秘密时空 · 发表于 2010-1-19 19:02:26

卡当公式

yefan852 · 发表于 2010-1-19 20:50:03

采用卡丹比较繁琐，运算起来有一长串，可否有简单点的？

jyc06 · 发表于 2010-1-22 20:20:36

有李煌老师超人解

EMP震荡波 · 发表于 2010-8-12 10:58:49

特解难以观察，恐怕只能卡丹了

高斯门徒 · 发表于 2010-8-20 16:10:04

x =
1/4*(-2*6^(1/2)+2*2^(1/2)+2*i*(8+2*6^(1/2)*2^(1/2))^(1/2))^(1/3)+1/(-2*6^(1/2)+2*2^(1/2)+2*i*(8+2*6^(1/2)*2^(1/2))^(1/2))^(1/3)
-1/8*(-2*6^(1/2)+2*2^(1/2)+2*i*(8+2*6^(1/2)*2^(1/2))^(1/2))^(1/3)-1/2/(-2*6^(1/2)+2*2^(1/2)+2*i*(8+2*6^(1/2)*2^(1/2))^(1/2))^(1/3)+1/4*i*3^(1/2)*(1/2*(-2*6^(1/2)+2*2^(1/2)+2*i*(8+2*6^(1/2)*2^(1/2))^(1/2))^(1/3)-2/(-2*6^(1/2)+2*2^(1/2)+2*i*(8+2*6^(1/2)*2^(1/2))^(1/2))^(1/3))
-1/8*(-2*6^(1/2)+2*2^(1/2)+2*i*(8+2*6^(1/2)*2^(1/2))^(1/2))^(1/3)-1/2/(-2*6^(1/2)+2*2^(1/2)+2*i*(8+2*6^(1/2)*2^(1/2))^(1/2))^(1/3)-1/4*i*3^(1/2)*(1/2*(-2*6^(1/2)+2*2^(1/2)+2*i*(8+2*6^(1/2)*2^(1/2))^(1/2))^(1/3)-2/(-2*6^(1/2)+2*2^(1/2)+2*i*(8+2*6^(1/2)*2^(1/2))^(1/2))^(1/3))

yefan852 · 发表于 2010-8-21 20:13:08

还是用工具秒了？话说这个表现形式谁也没有耐心看下去…

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[已解决] 解一个三次方程！