Find the equation of the circle passing through the point: `(5,-8),\ (-2,\ 9)a n d\ (2,1)`

Explanation

To find the equation of the circle passing through the points (5, -8), (-2, 9), and (2, 1), we can follow these steps:

### Step 1: Write the general equation of a circle
The general equation of a circle is given by:
\[ x^2 + y^2 + Dx + Ey + F = 0 \]
where \(D\), \(E\), and \(F\) are constants that we need to determine.
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