Let w = cos and α = w + w 2 + w 4 and β = w 3 + w 5 + w 6 . α and β are roots of the…

Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations

Let w = cos and α = w + w² + w⁴ and
β = w³ + w⁵ + w⁶.
α and β are roots of the equations :

1. x² + x + 1 = 0
2. x² + x + 2 = 0
3. x² + 3x + 5 = 0
4. None of these

Answer

(B) x 2 + x + 2 = 0

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