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Home » t = \frac4 \pm \sqrt16 - 126 - Appfinity Technologies

t = \frac4 \pm \sqrt16 - 126 - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Now square both sides:

📌 4(x^2 + y^2 + z^2) = (4 - z)^2 = 16 - 8z + z^2.

📌 4x^2 + 4y^2 + 4z^2 = 16 - 8z + z^2 \Rightarrow 4x^2 + 4y^2 + 3z^2 + 8z - 16 = 0.

📌 Divide by 4 to simplify:

📌 x^2 + y^2 + rac{3}{4}z^2 + 2z - 4 = 0.

📌 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}

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