(i+under root 3)whole to the power100  +(i -under root 3)whole to the power 100 + 2 whole to the power 100=????
                   

4 years ago

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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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Anil Pannikar


IIT Bombay

4 years ago

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