If … are the distinct roots of the equation x² - x + 1 = 0, then … is equal to :

Complex Numbers

JEE Main 2018 · Session, Shift 1 · Q3233

MathematicsMedium53×since 2002Q3233

\alpha ,\beta \in C

are the distinct roots of the equation x² - x + 1 = 0, then

{\alpha ^{101}} + {\beta ^{107}}

is equal to :

JEE Main 2018 · Session, Shift 1 · Q3233

MathematicsMedium53×since 2002Q3233

\alpha ,\beta \in C

are the distinct roots of the equation x² - x + 1 = 0, then

{\alpha ^{101}} + {\beta ^{107}}

is equal to :