document.write( "Question 970125: complete the Square x2 + 4x + y2 - 6y = -4 \n" ); document.write( "
Algebra.Com's Answer #592796 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! complete the Square \n" ); document.write( "(x^2+4x+4) + (y^2-6y+9) = -4 \n" ); document.write( "take 1/2 the coefficient of the x or y term \n" ); document.write( "1/2*4=2 \n" ); document.write( "1/2*6=3 \n" ); document.write( ".. \n" ); document.write( "square it: \n" ); document.write( "2^2=4 \n" ); document.write( "3^2=9 \n" ); document.write( ".. \n" ); document.write( "add it as a third term: \n" ); document.write( "x^2+4x+4 \n" ); document.write( "y^2-6y+9 \n" ); document.write( ".. \n" ); document.write( "add the same number to the right side to keep the equation in balance: \n" ); document.write( "(x^2+4x+4) + (y^2-6y+9) = -4+4+9 \n" ); document.write( "(x^2+4x+4) + (y^2-6y+9) = 9 \n" ); document.write( ".. \n" ); document.write( "take the sqrt of the first and last term and affix the sign of the middle term to complete the square. \n" ); document.write( "(x+2)^2+(y-3)^2=9 \n" ); document.write( " |