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Home » f(x + y) + f(x - y) = 2f(x) + 2f(y), \quad \forall x, y \in \mathbbR - Abu Waleed Tea

f(x + y) + f(x - y) = 2f(x) + 2f(y), \quad \forall x, y \in \mathbbR - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Subtract the third equation from the fourth:

📌 Now, we have a new system of three equations:

📌 \( 7a + 3b + c = -4 \)

📌 \( 19a + 5b + c = 3 \)

📌 \( 37a + 7b + c = 3 \)

📌 Subtract the first of these from the second:

📌 Subtract the second from the third:

📌 Substitute \( b = -9a \) into \( 6a + b = \frac{7}{2} \):

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