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Title: complex numbers
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Posted On: Sep 20, 2010 02:16 AM
  (i+under root 3)whole to the power100 +(i -under root 3)whole to the power 100 + 2 whole to the power 100=????      Show Them
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gurpreet kaur
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Sep 20, 2010 03:24 AM

Dear Gurpreet,

 

w = (-1 + sqrt.3 i)/2   or w = (-1 - sqrt.3 i)/2

i2 = -1

so, w = i (i + sqrt.3 )/2 and w = i (i - sqrt.3 )/2

put value of w = (i + sqrt.3 ) and w = (i - sqrt.3 ) in given quest. and use w3 = 1 and i2 = -1 to solve the problem.

 

 

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