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Home » You Won’t Believe What Happens When Gotham TV Goes Ultra-Dark! - Abbey Badges

You Won’t Believe What Happens When Gotham TV Goes Ultra-Dark! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Try brute-force: let x = smallest, then x² + (x+1)² + (x+2)² = 425

📌 x² + x² + 2x + 1 + x² + 4x + 4 = 425

📌 3x² + 6x + 5 = 425

📌 3x² + 6x = 420

📌 x² + 2x = 140

📌 x² + 2x - 140 = 0

📌 Discriminant: \( 4 + 560 = 564 \) → not a perfect square → no integer solution?

📌 Wait — maybe typo? Try correct sum.

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