Question 963056
{{{x^2 + y^2 - 10x + 14y+ 10 =0 }}}

{{{(x^2 -10x )+ (y^2+ 14y)=-10}}} ..............complete square

{{{(x^2 -10x+_ )-_+ (y^2+ 14y+_)-_=-10 }}}

{{{(x^2 -10x+5^2 )-5^2+ (y^2+ 14y+7^2)-7^2=-10 }}}

{{{(x - 5)^2 -25+ (y+7)^2-49=-10}}} 

{{{(x- 5)^2 + (y+7)^2=-10 +25+49}}}

{{{(x - 5)^2 + (y+7)^2=64}}} => center is at ({{{5}}},{{{-7}}}) and the radius is {{{sqrt(64)=8}}}

{{{drawing( 600, 600, -20, 20, -20, 20,
circle(5,-7,.12),circle(5,-7,8),locate(5,-7,C(5,-7)),
 graph( 600, 600, -20, 20, -20, 20, 0)) }}}