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Home » Substitute $ f(0) = 0 $ into equation (1): - DevRocket

Substitute $ f(0) = 0 $ into equation (1): - DevRocket

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 x^2 + y^2 + z^2 = 2

📌 Distance from $(1,1,0)$:

📌 \Rightarrow x^2 - 2x + 1 + y^2 - 2y + 1 + z^2 = 2

📌 \Rightarrow (x^2 + y^2 + z^2) - 2x - 2y + 2 = 2

📌 \Rightarrow 2 - 2x - 2y + 2 = 2 \Rightarrow -2x - 2y = -2 \Rightarrow x + y = 1

📌 Distance from $(1,0,1)$:

📌 \Rightarrow x^2 - 2x + 1 + y^2 + z^2 - 2z + 1 = 2

📌 \Rightarrow (x^2 + y^2 + z^2) - 2x - 2z + 2 = 2

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