Find the equation of the sphere passing through (0, 0, 0), (1, 0, 0) and (0, 0, 1).

Explanation

To find the equation of the sphere passing through the points (0, 0, 0), (1, 0, 0), and (0, 0, 1), we can follow these steps:

### Step 1: Write the general equation of a sphere
The general equation of a sphere is given by:
\[ x^2 + y^2 + z^2 + 2Ax + 2By + 2Cz + D = 0 \]
Since the sphere passes through the origin (0, 0, 0), we can simplify this equation by setting \(D = 0\). Thus, we have:
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