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Home » Now factor the quadratic: - Richter Guitar

Now factor the quadratic: - Richter Guitar

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 \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

📌 for all $ a, b, c \in \mathbb{R} $.

📌 f(a + b + c) = f(a) + f(b) + f(c) \quad \forall a, b, c \in \mathbb{R}

📌 Let’s set $ a = b = c = 0 $:

📌 f(0) = 3f(0) \Rightarrow 2f(0) = 0 \Rightarrow f(0) = 0

📌 Now, set $ c = 0 $:

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