Question 622801
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
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x^2+y^2-10x-4y+13=0
x^2+y^2-10x-4y = -13
(x-5)^2 + (y-2)^2 = -13 + 25 + 4
{{{(x-5)^2 + (y-2)^2 = 16 = r^2}}}  C(5,2), r = 4 and 
 y = 0 &#8658; {{{(x-5)^2 + 4 = 16}}}   &#8658;  x = 5 ± {{{sqrt(12)}}}
{{{drawing(300,300,   -10,10,-10,10,  arc(5,2,8,8),
 grid(1),
circle(8.46, 0,0.4),
circle(1.54, 0,0.4),
circle(5, 2,0.4),
graph( 300, 300, -10,10,-10,10))}}}