Find the minimum distance between the curves `y^2=4xa n dx^2+y^2-12 x+31=0`

Explanation

To find the minimum distance between the curves given by the equations \( y^2 = 4x \) (a parabola) and \( x^2 + y^2 - 12x + 31 = 0 \) (a circle), we can follow these steps:

### Step 1: Identify the curves
The first curve is a parabola given by:
\[ y^2 = 4x \]
The second curve is a circle. We can rewrite the circle's equation:
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