Question 827920
In case you need review about completing the square, see the lesson about this, linked through my profile, "What is Completing the Square".


{{{4x^2+4y^2+36y+5=0}}}
{{{4x^2+4(y^2+9y)+5=0}}}
{{{4x^2+4(y^2+9y+(9/2)^2)-4(9/2)^2+5=0}}}
{{{4x^2+4(y+9/2)^2=4(9/2)^2-5}}}
{{{x^2+(y+9/2)^2=(9/2)^2-5/4}}}
{{{x^2+(y+9/2)^2=(76)/4}}}
{{{highlight(x^2+(y+9/2)^2=19)}}}


Center at (0,-4.5), and radius is {{{sqrt(19)}}}.


{{{graph(300,300,-10,10,-10,10, -4.5+sqrt(19-x^2),-4.5-sqrt(19-x^2))}}}