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Home » Set the equations equal to find intersection points: - Dachbleche24

Set the equations equal to find intersection points: - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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But in context, perhaps intended:
Let’s assume Sₙ = 110 and solve — only way is accept non-integer, but...
So revise: perhaps original problem meant Sₙ = 98 → n = 7
Or Sₙ = 124 → n = 8
But as written: **No integer solution exists.
But for pedagogy: use approximate answer.
However, in high school level, expect integer.
Actually, double-check discriminant: 7² + 4×3×220 = 49 + 2640 = 2689,...
51² = 2601, 52² = 2704 → 2689 - 2601 = 88 → √2689 ≈ 51.85
So n ≈ ( -7 + 51.85 ) / 6 ≈ 7.475

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