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Home » Counting all combinations for \((a, b)\): - Abbey Badges

Counting all combinations for \((a, b)\): - Abbey Badges

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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\( \sqrt{985} \approx 31.3847 \) → \( x \approx \frac{35 - 31.3847}{4}...
But area: try \( x = 0.9 \): \( (20 - 1.8)(15 - 1.8) = 18.2 \times 13....
Close enough. So width ≈ 0.9 m. But try exact: suppose \( x = \frac{6}...
Alternatively, accept: exact value \( x = \frac{35 - \sqrt{985}}{4} \)...
Wait: \( x = 1 \): \( 18 \times 13 = 234 \); 240 - 234 = 6 short. Need...
Try \( x = 0.95 \): \( 19.1 \times 13.0 = 248.3 \) — too big.
Better: use formula: \( x = \frac{35 - \sqrt{985}}{4} \), \( \sqrt{985...
Actually: solve accurately:
Discriminant: \( \sqrt{985} \approx 31.3847 \) → \( x = (35 - 31.3847)...
But check: \( (20 - 1.8076)(15 - 1.8076) = 18.1924 \times 13.1924 \app...

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