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📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Now complete the square for $ z $:

📌 rac{3}{4}z^2 + 2z = rac{3}{4}(z^2 + rac{8}{3}z) = rac{3}{4}\left( \left(z + rac{4}{3}

📌 ight)^2 - rac{16}{9}

📌 ight) = rac{3}{4}\left(z + rac{4}{3}

📌 ight)^2 - rac{4}{3}.

📌 x^2 + y^2 + rac{3}{4}\left(z + rac{4}{3}

📌 ight)^2 - rac{4}{3} - 4 = 0 \Rightarrow x^2 + y^2 + rac{3}{4}\left(z + rac{4}{3}

📌 ight)^2 - rac{16}{3} = 0.

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