document.write( "Question 616356: What is the center and the radius of a circle whose equation is x^2+y^2 -4x +14y +28=0 ? \n" ); document.write( "
Algebra.Com's Answer #387648 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! What is the center and the radius of a circle whose equation is \n" ); document.write( "x^2+y^2 -4x +14y +28=0 ? \n" ); document.write( "complete the square \n" ); document.write( "x^2 -4x+y^2+14y +28=0 \n" ); document.write( "(x^2-4x+4)+(y^2+14y+49)=-28+4+49 \n" ); document.write( "(x-2)^2+(y+7)^2=25 \n" ); document.write( "Standard form of equation for a circle: \n" ); document.write( "(x-h)^2+(y-k)^2=r^2, (h,k)=(x,y) coordinates of center, r=radius \n" ); document.write( "For given equation: \n" ); document.write( "center:(2,-7) \n" ); document.write( "r^2=251 \n" ); document.write( "r=√25=5 \n" ); document.write( " \n" ); document.write( " |