Multiply both sides by \(x^2 + y^2 + z^2\):
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- ight) = x^2 + y^2 + z^2.
- Multiply through:
- 9c^2 - rac{9c^2 z^2}{x^2 + y^2 + z^2} = x^2 + y^2 + z^2.
- 9c^2(x^2 + y^2 + z^2) - 9c^2 z^2 = (x^2 + y^2 + z^2)^2.
- 9c^2(x^2 + y^2) = (x^2 + y^2 + z^2)^2.
- This is the equation of a **torus** centered along the \(z\)-axis with major radius \(3c\) and minor radius \(3c\), but more precisely, from the original form \(
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