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\binom62 \times \binom92 - Sterling Industries

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 Actually, \( u + rac{1}{u} = 2 \) implies \( u = 1 \) (since for complex \(u\), this only holds if \(|u| = 1\) and conjugate symmetry, but equality to 2 forces \(u = 1\) in \( \mathbb{C} \) only if real and positive, but let's solve generally).

📌 Set \( u + rac{1}{u} = 2 \). Multiply by \(u\): \( u^2 - 2u + 1 = 0 \Rightarrow (u - 1)^2 = 0 \Rightarrow u = 1 \), still.

📌 So \( rac{z + w}{z - w} = 1 \Rightarrow z + w = z - w \Rightarrow

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