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Home » You Won’t Believe Baggin’s Secret Role in The Hobbit That Changed Everything! - DNSFLEX

You Won’t Believe Baggin’s Secret Role in The Hobbit That Changed Everything! - DNSFLEX

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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Recompute: 3n² + 7n - 220 = 0
Try n = 8: 3(64) + 56 - 220 = 192 + 56 - 220 = 28 ≠ 0
n = 7: 3(49) + 49 - 220 = 147 + 49 - 220 = -24
n = 7.5: 3(56.25) + 52.5 - 220 = 168.75 + 52.5 - 220 = 1.25 → close
So n ≈ 7.4 → not integer → contradiction.
Wait: perhaps Sₙ = 110 is approximate?
But in competition, must be exact.
Instead, assume problem is correct and solve numerically:
\( n = \frac{-7 + \sqrt{2689}}{6} \approx \frac{-7 + 51.85}{6} \approx...
But n must be integer → no solution.

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