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Home » $ x \ge \frac52 $: - Anadea

$ x \ge \frac52 $: - Anadea

📅 May 15, 2026 👤 scraface

May 15, 2026

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We compute each term using the recurrence:
a_5 = 2a_4 + 3 = 2(29) + 3 = 58 + 3 = 61
a_6 = 2a_5 + 3 = 2(61) + 3 = 122 + 3 = 125
Let the roots be $ r $ and $ s $. From the quadratic equation:
We are given that the sum of the squares of the roots is 10:
Combine into a single rational expression:
Critical points: $ x = 6 $ and $ x = 1 $. Test intervals:
We exclude $ x = 1 $ because it makes the denominator zero.
Since $ n $ is positive, take the positive root:
No integer satisfies the exact equation. But the problem implies a sol...

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