Grade 8Algebra
alpha and beta are the roots of the equation x^2-x+1=0 then the equation for the roots alpha^2018 and beta^2018
alpha and beta are the roots of the equation x^2-x+1=0 then the equation for the roots alpha^2018 and beta^2018
1 Answer
Arun
Dear student
its root will be
alpha = – w
beta = – w^2
now
a^2018 = (– w)^2018 = w^2018 = w^2
bet^2018 = (– w^2)^2018 = w^4036 = w
now sum = w + w^2 = – 1
product = w * w^2 = w^3 = 1
hence equation will be
x^2 + x + 1 =0
Regards
Arun
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