My Math Forum Question about equation of a circle.

 Algebra Pre-Algebra and Basic Algebra Math Forum

 August 27th, 2013, 02:01 PM #1 Newbie   Joined: Aug 2013 Posts: 1 Thanks: 0 Question about equation of a circle. So i'm reviewing some basic algebra for a class and seem to have forgotten some things... Prove that the equation x^2+y^2+x=0 represents a circle and find the center and radius. I do fine with circle equations that require completing the square but am not sure what to do here. Thank you so much in advance!
 August 27th, 2013, 02:16 PM #2 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,948 Thanks: 1139 Math Focus: Elementary mathematics and beyond Re: Question about equation of a circle. $x^2\,+\,x\,+\,y^2\,=\,0$ $$$x\,+\,\frac12$$^2\,+\,y^2\,-\,\frac14\,=\,0$ $$$x\,+\,\frac12$$^2\,+\,y^2\,=\,\frac14$ Hence the equation represents a circle with center (-1/2, 0) and radius 1/2.

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