Mathematics - Complex Number Question with Solution | TestHub

MathematicsComplex NumberMiscellaneous/MixedMedium2 minQB

MathematicsMediumnumerical

If $α$ is a root of $x^{2} - x + 1 = 0$ , find $α^{333} + α^{666} + α^{999}$ .

Answer:

1.00

Solution:

The roots are -omega and -omega^2. The three powers are -1,1,-1, whose sum has modulus 1.

Stream:JEESubject:MathematicsTopic:Complex NumberSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: QB

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