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Home » x^2 + 2x - 6 = 0 - Decision Point

x^2 + 2x - 6 = 0 - Decision Point

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 u = rac{r^{1/2}}{\sqrt{c}}, \quad z = c \cdot rac{r^{1/2}}{\sqrt{c}} \cdot \sqrt{1 - rac{r^2}{c^2}} = \sqrt{c} \cdot r^{1/2} \sqrt{1 - rac{r^2}{c^2}}

📌 z^2 = c \cdot r \left(1 - rac{r^2}{c^2}

📌 ight) = c r - rac{r^3}{c}

📌 But \(r = rac{\sqrt{x^2 + y^2}}{1}\), so:

📌 z^2 = c \sqrt{x^2 + y^2} - rac{(x^2 + y^2)^{3/2}}{c}

📌 This is messy. Instead, return to the standard geometric interpretation.

📌 We know that the equation \(

📌 ho = c \sin\phi\) in spherical coordinates represents a **sphere**.

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