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Home » \(w^2 = 20\) - ToelettAPP

\(w^2 = 20\) - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Tatsächliche Lösung durch Faktorversuch: versuche \( x = 0.6 \): \( 19.8 \times 13.8 = 273.24 \) — zu hoch.

📌 Verwende korrekt: \( 2x^2 - 35x + 30 = 0 \) → \( x = \frac{35 - \sqrt{1225 - 240}}{4} = \frac{35 - \sqrt{985}}{4} \).

📌 \( \sqrt{985} \approx 31.3847 \) → \( x \approx \frac{35 - 31.3847}{4} = \frac{3.6153}{4} \approx 0.904 \).

📌 But area: try \( x = 0.9 \): \( (20 - 1.8)(15 - 1.8) = 18.2 \times 13.2 = 240.24 \approx 240 \).

📌 Close enough. So width ≈ 0.9 m. But try exact: suppose \( x = \frac{6}{7} \approx 0.857 \): too low.

📌 Alternatively, accept: exact value \( x = \frac{35 - \sqrt{985}}{4} \), but for practicality, use closer.

📌 Wait: \( x = 1 \): \( 18 \times 13 = 234 \); 240 - 234 = 6 short. Need larger x, but narrower.

📌 Try \( x = 0.95 \): \( 19.1 \times 13.0 = 248.3 \) — too big.

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