Let α and β be two roots of the equation x² + 2x + 2 = 0, then α ¹⁵ + β ¹⁵ is equal to:

Complex Numbers and Quadratic Equations: JEE Main 2019 Mathematics question

JEE Main 2019 · 9 Jan, Morning shift · Q3274

JEE Main 20199 Jan, Morning shiftMathematicsHardComplex Numbers and Quadratic Equations264× since 2002

Let

\alpha

and

\beta

be two roots of the equation x² + 2x + 2 = 0 , then

\alpha ^{15}

\beta ^{15}

is equal to :

JEE Main 2019 · 9 Jan, Morning shift · Q3274

JEE Main 20199 Jan, Morning shiftMathematicsHardComplex Numbers and Quadratic Equations264× since 2002

Let

\alpha

and

\beta

be two roots of the equation x² + 2x + 2 = 0 , then

\alpha ^{15}

\beta ^{15}

is equal to :