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Home » Spicy Spicy Chips: The Burn That Melted My Taste Buds (No Regrets!) - American Beagle Club

Spicy Spicy Chips: The Burn That Melted My Taste Buds (No Regrets!) - American Beagle Club

📅 February 27, 2026 👤 scraface

Feb 27, 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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x^2 + y^2 + z^2 - 2z + 1 - (x^2 - 2x + 1 + y^2 + z^2) = 0
-2z + 2x = 0 \quad \Rightarrow \quad x = z
So $x = y = z$. Plug into equation (1):
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