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Home » Les racines sont \( x = 4 \) et \( x = 2 \). - Midis

Les racines sont \( x = 4 \) et \( x = 2 \). - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Let the retreats (in meters/year) for the 5 years be: $ a, a+d, a+2d, a+3d, a+4d $.

📌 But the first 4 years total 120: $ a + (a+d) + (a+2d) + (a+3d) = 4a + 6d = 120 $

📌 The next 3 years: $ (a+3d) + (a+4d) + (a+5d) = 3a + 12d = 210 $

📌 We now solve the system:

📌 From (2): $ a = 70 - 4d $

📌 Substitute into (1): $ 2(70 - 4d) + 3d = 60 $ → $ 140 - 8d + 3d = 60 $ → $ -5d = -80 $ → $ d = 16 $

📌 Then $ a = 70 - 4(16) = 70 - 64 = 6 $

📌 So annual retreat sequence:

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