|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?
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|
|x|=|y|=|z|=1
and
x/y+y/z+z/x=1
Find the possible value(s) of |3x+4y+5z|
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.
I think those are all.
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原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20100921000051KK01083