Answer
$(5,-2)$
Work Step by Step
The standard form of the equation of the circle is:
$x^2+y^2 -10x+4y+4=0$
or, $(x^2-10x+25)+(y^2+4y+4)=-4+25+4$
or, $(x-5)^2+(y+2)^2=25$
So, we see that the center is: $(5,-2)$
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