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Home » Find the maximum possible value of $r$ along this path. - Abbey Badges

Find the maximum possible value of $r$ along this path. - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Now, we solve the system:

📌 3a + b &= 5, \\

📌 5a + b &= 7.

📌 Substitute \( a = 1 \) back into \( 3a + b = 5 \):

📌 3(1) + b = 5 \implies b = 2.

📌 Substitute \( a = 1 \) and \( b = 2 \) into \( a + b + c = 6 \):

📌 + 2 + c = 6 \implies c = 3.

📌 Thus, the polynomial is \( f(x) = x^2 + 2x + 3 \).

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