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Home » Discriminant: \( 4 + 560 = 564 \) → not a perfect square → no integer solution? - AMAZONAWS

Discriminant: \( 4 + 560 = 564 \) → not a perfect square → no integer solution? - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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Start with the inequality:
\leq 7k + 3 \leq 100
Subtract 3 from all parts:
\leq 7k \leq 97
Divide the entire inequality by 7:
-\frac{2}{7} \leq k \leq \frac{97}{7}
Since \( k \) must be a non-negative integer, the smallest possible va...
k \leq \left\lfloor \frac{97}{7} \right\rfloor = 13
Therefore, \( k \) can range from 0 to 13. The number of integers \( k...
- 0 + 1 = 14

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