Answer
center $(5,-2)$, radius $r=3$.
Work Step by Step
$x^2-10x+y^2+4y=-20 \longrightarrow x^2-10x+25+y^2+4y+4=-20+25+4 \longrightarrow (x-5)^2+(y+2)^2=9$. Thus we have the center $(5,-2)$, radius $r=3$.
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