Partial Fraction Poles

• Xcert

  30 Oct 08, 20:05

  I need help to get the 4 poles in

   

  1/(1+z^4)

  where z is a complex variable.

   

  Anyone? 

• Lee012lee

  30 Oct 08, 20:30

  Haha, Mas Selamat, why have maths problem again huh ? The expansion of 3 variables still cannot help you to escape from the detention house ? Need to learn more maths to plan the escape huh ?

• Xcert

  30 Oct 08, 20:59

  ya lor...this time I need to be in the complex realm to be free of my troubles...

  x,y,z....i,j,k....

• Lee012lee

  30 Oct 08, 23:02

  Oh,  so you must be planning a very complex route of escape, understood. OK.

  So, you need someone to help you with this complex maths question to plan the complex route of escape lah. 

• eagle

  30 Oct 08, 23:59

  not sure if my method is correct

  1 + z^4 = 0
  z^4 = -1
  z^2 = ±i

  Since i = e^(iπ/2) using Euler's formula,
  z^2 = e^(iπ/2) or z^2 = -e^(iπ/2)
  z = ±e^(iπ/4) or z = ± i e^(iπ/4)
  
  z = ±(cos π/4 + i sin π/4) or ±( - sin π/4 + i cos π/4)
  
  change the sin and cos π/4 to 0.707 can le