AL complex number

2010-09-22 3:12 am
Let x,y,z be complex number such that
|x|=|y|=|z|=1
and
x/y+y/z+z/x=1
Find the possible value(s) of |3x+4y+5z|
更新1:

sqrt(74), sqrt(80), and sqrt(90) are three possible values, but are there any other possible values?

回答 (2)

2010-09-24 8:11 pm
✔ 最佳答案
======================================================

圖片參考:http://img8.imageshack.us/img8/598/21537594.png


2010-09-24 12:11:33 補充:
http://img8.imageshack.us/img8/598/21537594.png
2010-09-22 6:24 am
For x = y, y = z or z = x,
I think those are all.


收錄日期: 2021-04-23 23:22:27
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20100921000051KK01083

檢視 Wayback Machine 備份