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embassy suites by hilton san luis obispo - Nurtured Nest

📅 May 8, 2026 👤 scraface

May 08, 2026

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🔥 Popular Posts

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
\Rightarrow 2 - 2x - 2z + 2 = 2 \Rightarrow -2x - 2z = -2 \Rightarrow...
From (2) and (3), we have:
x + y = 1, \quad x + z = 1 \Rightarrow y = z
From the first equation:
x^2 + y^2 + z^2 = 2 \Rightarrow x^2 + 2y^2 = 2
Let’s try integer values. Try $x = 0$:
+ 2y^2 = 2 \Rightarrow y^2 = 1 \Rightarrow y = \pm1 \Rightarrow z = \p...

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