Complex roots

  • #1
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I think I've got some minor braindamage or something but i just can't remember how to find the singular points of

1/(1+z^4)

I guess the problem is to solve the equation 1+x^4=0 and get complex roots but this is what I don't remember how to do. Thanks.
 

Answers and Replies

  • #2
Office_Shredder
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Start off by substituting v=x2, and try to go from there
 
  • #3
TD
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Or swith to an easier, but equivalent, representation of the complex number z (think exponential/polar/...)
 
  • #5
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Write x^4 = -1 and try to follow what you think is the simplest path without involving anything fancy.
 
  • #6
dextercioby
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Well, use the decomposition

[tex]z^4 +1 =(z^2 +i)(z^2 -i) [/tex]

Daniel.
 

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