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Home » 1776 to 1976 half dollar value - Databee Business Systems

1776 to 1976 half dollar value - Databee Business Systems

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Wait — 141 is not a perfect square. Try checking if the middle term is \( n \), so use:

📌 Let the middle integer be \( n \), then:

📌 \[ 3n^2 + 2 = 425 \Rightarrow 3n^2 = 423 \Rightarrow n^2 = 141 \Rightarrow n = \sqrt{141} \]

📌 But 141 is not a perfect square — check if 137, 138, etc., work. Try actual integers.

📌 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.

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