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If a, b are the roots of the equation x^2 - x + 1 =0 then value of a^2018 + b^2018 ?

If a, b are the roots of the equation x^2 - x + 1 =0 then value of a^2018 + b^2018 ?

Grade:10

4 Answers

Deepak Kumar Shringi
askIITians Faculty 4404 Points
5 years ago
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Khimraj
3007 Points
5 years ago
value of \alpha and \beta is -w and -w2
So value of \alpha2018 + \beta2018 = w2018 + w4036 = -1 + 1 = 0.
Hope it clears.
Bikash
12 Points
5 years ago
Above answers are conflicting each other, please explain how  w2018 + w4036 = -1 + 1 also  please mention all the steps in details
Om
111 Points
5 years ago
Dear student 
The equation x2+x+1=0   will have unreal roots
And as the coefficients and constant is having real values the roots will occur in conjugate pairs 
I think this is the principle used in the above answers 
 

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