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📅 May 4, 2026 👤 scraface

May 04, 2026

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🔥 Popular Posts

\[ 3n^2 + 2 = 425 \Rightarrow 3n^2 = 423 \Rightarrow n^2 = 141 \Righta...
But 141 is not a perfect square — check if 137, 138, etc., work. Try a...
Try \( n = 11 \): numbers 10, 11, 12
Sum of squares: \( 100 + 121 + 144 = 365 \) → too low
Try \( n = 12 \): 11, 12, 13 → \( 121 + 144 + 169 = 434 \) → too high
Try \( n = 11.5 \)? Not integer — but integers must be whole.
Wait — recheck equation:
3n² + 2 = 425 → 3n² = 423 → n² = 141 → n = √141 ≈ 11.87 → not integer.
But problem says "three consecutive integers" — must be integers.
Try brute-force: let x = smallest, then x² + (x+1)² + (x+2)² = 425

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