document.write( "Question 422335: find the center of this ellipse: 16x^2+4y^2+64x+24y+36=0 \n" ); document.write( "

Algebra.Com's Answer #294804 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


\n" );
document.write( "Hi
\n" );
document.write( " Standard Form of an Equation of an Ellipse is 
\n" );
document.write( "where Pt(h,k) is the center and a and b  are the respective vertices, distances from center.\r
\n" );
document.write( "\n" );
document.write( "Finding the center of the following ellipse:  
\n" );
document.write( "16x^2+4y^2+64x+24y+36=0
\n" );
document.write( " 16(x^2 + 4x) + 4(y^2+6y)+36 = 0   |completing the squares
\n" );
document.write( " 16[(x+2)^2 -4] + 4[(y+3)^2-9] + 36 = 0
\n" );
document.write( " 16(x+2)^2 - 64 + 4(y+3)^2 - 36 + 36 = 0
\n" );
document.write( "   16(x+2)^2 + 4(y+3)^2 = 64
\n" );
document.write( "   
\n" );
document.write( "center pt(-2,-3)
\n" );
document.write( "\r
\n" );
document.write( "\n" );
document.write( "      
\n" );
document.write( " \n" );
document.write( "

\n" );