If $\alpha ,\beta \in C$ are the distinct roots of the equation x2 - x + 1 = 0, then ${\alpha ^{101}} + {\beta ^{107}}$ is equal to :

Question

If $\alpha ,\beta \in C$ are the distinct roots of the equation
x² - x + 1 = 0, then ${\alpha ^{101}} + {\beta ^{107}}$ is equal to :

-1

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