AL complex number

2010-09-24 6:14 am
let a,b be complex number s.t.
|a|=|b|=1
and
a+b+1/ab=1
prove that
a, b = 1 or +-i
更新1:

where a,b are distinct!

回答 (1)

2010-09-24 7:55 pm
✔ 最佳答案
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圖片參考:http://img163.imageshack.us/img163/8979/36393396.png


2010-09-24 11:55:15 補充:
http://img163.imageshack.us/img163/8979/36393396.png

2010-09-24 19:07:23 補充:
Solution without using polar form:
http://img836.imageshack.us/img836/941/64094359.png


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