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Home » \[ 11x = 27 \] - Blask

\[ 11x = 27 \] - Blask

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Now evaluate at \(x = \omega\):

📌 \omega^4 + 3\omega^3 - 2\omega^2 + \omega + 5 = a\omega + b

📌 We compute each term:

📌 \(\omega^4 = \omega \cdot \omega^3 = \omega(-1) = -\omega\)

📌 \(3\omega^3 = 3(-1) = -3\)

📌 \(-2\omega^2 = -2(\omega - 1) = -2\omega + 2\)

📌 \(\omega\)

📌 So \(a\omega + b = 3\omega + 4\), hence \(a = 3\), \(b = 4\).

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