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Home » En utilisant le théorème de Pythagore : \( 8^2 + b^2 = 10^2 \). - AMAZONAWS

En utilisant le théorème de Pythagore : \( 8^2 + b^2 = 10^2 \). - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 A car travels from city A to city B at 60 km/h and returns at 40 km/h. What is the average speed for the entire round trip?

📌 Let distance be d. Time to B = d/60, time to return = d/40.

📌 Total distance = 2d. Total time = d/60 + d/40 = (2d + 3d)/120 = 5d/120 = d/24.

📌 Average speed = total distance / total time = 2d / (d/24) = 48 km/h.

📌 Solve for x: log₂(x + 3) + log₂(x − 1) = 3.

📌 Combine logs: log₂[(x + 3)(x − 1)] = 3 → (x + 3)(x − 1) = 2³ = 8.

📌 Expand: x² + 2x − 3 = 8 → x² + 2x − 11 = 0.

📌 Use quadratic formula: x = [−2 ± √(4 + 44)] / 2 = [−2 ± √48]/2 = [−2 ± 4√3]/2 = −1 ± 2√3.

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