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IF x + 1/x = -1 , Find x^99 + (1/x^99). PLZ explain it properly...

IF x + 1/x = -1 , Find x^99 + (1/x^99). PLZ explain it properly... 

Grade:10

1 Answers

Arun
25763 Points
2 years ago
Dear Sambhav
 
This is not possible in real number.
 
x can’t be real.
 
But in complex field
 
x^2 + x + 1 = 0
 
hence
 
x = w and w^2
 
now
 
x^99 + 1 / x^99
 
 w^ 99 + (w^2)^99
 
 = 1 + 1
 
 = 2

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