If α and β are the roots of x^2+x+1=0, then what is \sum^{3}_{j=0}(\alpha^{j}+\beta^{j}) equal to ? [NDA II 2019]

NDA Math Quadratic Equations and Inequations

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If α and β are the roots of x2+x+1=0, then what is

j=0

(αj+βj) equal to ?

[NDA II 2019]

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