Question 276637
Find the center and radius of the circle given by 
{{{ x^2 + y^2 - 10x+6y+30=0 }}}
Separate the x's and y's, and put the 30 on the right side
{{{x^2-10x + y^2+6y = -30}}}
For x, -10/2 = -5 --> 25
For y, 6/2 = 3 --> 9
{{{x^2-10+25 + y^2+6y+9 = -30 + 25 + 9}}}
{{{(x-5)^2 + (y+3)^2 = 4}}}
Center at (5,-3), r = 2
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and / or {{{x^2 + 2x =4 }}}
{{{x^2 + 2x + 1 = 5}}}
{{{(x+1)^2 = 5}}}
A parabola, axis of symmetry x = -1
Vertex at (-1,-5)