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rac7!3! \cdot 2! \cdot 2! - Appcentric

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📝 Recent Posts

The sum of the squares of two consecutive positive integers is 365. Wh...
Then, \( n^2 + (n+1)^2 = 365 \).
Expanding, \( n^2 + n^2 + 2n + 1 = 365 \) → \( 2n^2 + 2n + 1 = 365 \).
Subtracting 365: \( 2n^2 + 2n - 364 = 0 \) → divide by 2: \( n^2 + n -...
Factoring: \( (n + 14)(n - 13) = 0 \).
Since \( n > 0 \), \( n = 13 \), so the integers are 13 and 14.
Their product is \( 13 \times 14 = 182 \).
#### 182
A car travels at a constant speed. It takes 3 hours to go from City A...
Total distance = 500 km (500 back and forth).

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