Question 319025
Complete the square in x and y.
{{{x^2+y^2 - 10x+2y+22=0}}}
{{{x^2-10x+y^2+2y+22=0}}}
{{{(x^2-10x+25)+(y^2+2y+1)+22=25+1}}}
{{{(x-5)^2+(y+1)^2+22=26}}}
{{{(x-5)^2+(y+1)^2=4}}}
Compare to the general equation for a circle centered at (h,k) with radius R,
{{{(x-h)^2+(y-k)^2=R^2}}}
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(h,k)=({{{5}}},{{{-1}}})
{{{R=2}}}