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Home » 3y + z = 4 \quad \text(1)\\ - DNSFLEX

3y + z = 4 \quad \text(1)\\ - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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The sum of the squares of three consecutive integers is 425. What is t...
Sum of squares:
\[ (n-1)^2 + n^2 + (n+1)^2 = 425 \]
\[ (n^2 - 2n + 1) + n^2 + (n^2 + 2n + 1) = 425 \]
\[ 3n^2 + 2 = 425 \]
\[ 3n^2 = 423 \]
\[ n^2 = 141 \]
\[ n = \sqrt{141} \approx 11.87 \]
Wait — 141 is not a perfect square. Try checking if the middle term is...
Let the middle integer be \( n \), then:

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