Grade 10Algebra
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 ?
4 Answers
Deepak Kumar Shringi
Khimraj
value of 
and 
is -w and -w2
So value of 2018 + 2018 = w2018 + w4036 = -1 + 1 = 0.
Hope it clears.
Bikash
Above answers are conflicting each other, please explain how w2018 + w4036 = -1 + 1 also please mention all the steps in details
Om
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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