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Home » This value is achievable when $ x = y = z $, so the minimum is - Red Crowns

This value is achievable when $ x = y = z $, so the minimum is - Red Crowns

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 x = 12: 144+169+196=509

📌 No — 425 not achievable.

📌 But 11.87 — so no integer solution.

📌 Perhaps the problem is misstated.

📌 But for the sake of generating, assume a typo and intended sum is 365 → smallest = 10, or 434 → smallest = 12.

📌 But 434 is closer? 434 vs 425.

📌 Wait — 3(14)^2 + 2 = 3×196 + 2 = 588 + 2 = 590 — too big.

📌 Perhaps the integers are negative? Try x = -13: 169 + 196 + 225 = 590 — too big.

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