Find the equation of the circle passing through the origin and through the points of contact of tangents from the origin to the circle.
`x^(2) + y^(2) - 11x + 13y + 17 = 0`

Explanation

To find the equation of the circle passing through the origin and through the points of contact of tangents from the origin to the given circle, we can follow these steps:

### Step 1: Identify the given circle's equation
The equation of the given circle is:
\[ x^2 + y^2 - 11x + 13y + 17 = 0 \]

### Step 2: Rewrite the circle's equation in standard form
To rewrite the equation in standard form, we complete the square for both \(x\) and \(y\).
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