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Find the equation of the circle of minim...

Find the equation of the circle of minimum radius which contains the three circles
`x^2-y^2-4y-5=0`
`x^2+y^2+12x+4y+31=0` and
`x^2+y^2+6x+12y+36=0`

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`(x+31/18)^2+(y+23/12)^2=(3+5/36sqrt949)^2`
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