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bryce canyon best western plus bryce canyon grand hotel - Redraw

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 eta^2 = (1 - i)^2 = 1 - 2i + i^2 = 1 - 2i - 1 = -2i

📌 eta^4 = (-2i)^2 = 4i^2 = -4

📌 eta^4 + 3 = -1 = a(1 - i) + b = a - ai + b

📌 Imaginary part: \( -a = 0 \Rightarrow a = 0 \), then \( b = -1 \)

📌 So both give \( a = 0 \), \( b = -1 \)

📌 Conclusion: the remainder is constant \( -1 \)

📌 Alternatively, polynomial division confirms:

📌 Divide \( u^4 + 0u^3 + 0u^2 + 0u + 3 \) by \( u^2 - 2u + 2 \)

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