document.write( "Question 555133: 4x^2+9y^2-8x-18y-23=0 \n" ); document.write( "
Algebra.Com's Answer #362131 by lwsshak3(11628)\"\" \"About 
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4x^2+9y^2-8x-18y-23=0
\n" ); document.write( "complete the square
\n" ); document.write( "4(x^2-2x+1)+9(y^2-2y+1)=23+4+9
\n" ); document.write( "4(x-1)^2+9(y-1)^2=36
\n" ); document.write( "divide by 36
\n" ); document.write( "(x-1)^2/9+(y-1)^2/4=1
\n" ); document.write( "This is an equation of an ellipse with horizontal major axis of the standard form:
\n" ); document.write( "(x-h)^2/a^2+(y-k)^2/b^2=1, a>b, (h,k) being the (x,y) coordinates of the center.
\n" ); document.write( "For given equation:
\n" ); document.write( "center(1,1)
\n" ); document.write( "a^2=9
\n" ); document.write( "a=√9=3
\n" ); document.write( "vertices: (1±a,1)=(1±3,1)=(-2,1) and (4,1)
\n" ); document.write( "b^2=4
\n" ); document.write( "b=√4=2
\n" ); document.write( "co-vertices: (1,1±b)=(1,1±2)=(1,-1) and (1,3)
\n" ); document.write( "you now have the information you need to graph the ellipse \n" ); document.write( "
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