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Home » 64a + 16b + 4c + d = 57 - Belip

64a + 16b + 4c + d = 57 - Belip

📅 May 3, 2026 👤 scraface

May 03, 2026

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z = e^{-2\pi i/9} \cdot e^{2\pi i k / 3} = e^{-2\pi i (1 - 3k)/9} = e^...
So all roots have arguments:
From first set: \( \theta = \frac{2\pi(3k+1)}{9} \), \( k=0,1,2 \) → \...
From second set: \( \theta = \frac{2\pi(3k+2)}{9} \), \( k=0,1,2 \) →...
List the real parts: \( \cos\theta \) for each:
\( \cos\left(\frac{2\pi}{9}\right) \approx \cos(40^\circ) \approx 0.76...
\( \cos\left(\frac{4\pi}{9}\right) = \cos(80^\circ) \approx 0.1736 \)
\( \cos\left(\frac{8\pi}{9}\right) = \cos(160^\circ) \approx -0.9397 \...
\( \cos\left(\frac{10\pi}{9}\right) = \cos(200^\circ) \approx -0.9397...
\( \cos\left(\frac{14\pi}{9}\right) = \cos(280^\circ) = \cos(-80^\circ...

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