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#1 2007-05-02 02:49:37

Stanley_Marsh
Member
Registered: 2006-12-13
Posts: 345

Complex number

How to use the

  notation to find complex root. Just don't know how to apply it .an example like 

Last edited by Stanley_Marsh (2007-05-02 02:56:31)


Numbers are the essence of the Universe

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#2 2007-05-05 04:43:48

HallofIvy
Guest

Re: Complex number

Stanley_Marsh wrote:

How to use the

  notation to find complex root. Just don't know how to apply it .an example like 

First write the equation as

so that in "polar notation", you have
.  Now you have the two equations
which has r= 1 as its only real root and
.  You can get all 7 roots by repeatedly adding
to the right side of that equation.

#3 2007-05-11 18:30:08

George,Y
Member
Registered: 2006-03-12
Posts: 1,379

Re: Complex number

In fact, the exponetial form is not a necessity. Whereas the trignometric form for complex numbers is.


X'(y-Xβ)=0

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