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Home » 5-7 Transformations: How These Simple Changes Changed Everything! - Malaeb

5-7 Transformations: How These Simple Changes Changed Everything! - Malaeb

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 We compute $ \sum t^2 $ using the identity:

📌 \sum t^2 = (\sum t)^2 - 2\sum t_i t_j

📌 From the cubic:

📌 $ \sum t = 6 $

📌 $ \sum t_i t_j = 7 $

📌 \sum t^2 = 6^2 - 2 \cdot 7 = 36 - 14 = 22

📌 Thus, the sum of the roots of the original equation in $ u $ is $ \boxed{22} $.

📌 Question: For all real numbers $ a, b, c $, find the number of functions $ f : \mathbb{R} \to \mathbb{R} $ satisfying

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