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Home » Thus, $ x^3 + y^3 = \boxed370 $. - Dachbleche24

Thus, $ x^3 + y^3 = \boxed370 $. - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Le temps nécessaire à la vitesse initiale est \( \frac{240}{v} \) heures.

📌 À \( v + 10 \) km/h, le temps est \( \frac{240}{v + 10} \) heures.

📌 L’équation est \( \frac{240}{v} - 1 = \frac{240}{v + 10} \).

📌 En multipliant et en simplifiant, on obtient \( 240(v + 10) - v(v + 10) = 240v \), ce qui donne \( 2400 - v^2 - 10v = 0 \) ou \( v^2 + 10v - 2400 = 0 \).

📌 En résolvant l’équation quadratique, \( (v + 60)(v - 50) = 0 \), donc \( v = 50 \) km/h.

📌 #### 50 km/h

📌 Un jardin rectangulaire a une longueur qui est 3 mètres plus longue que sa largeur. Si le périmètre est de 46 mètres, quelles sont les dimensions du jardin ?

📌 Soit la largeur \( w \) mètres, donc la longueur est \( w + 3 \) mètres.

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