document.write( "Question 584869: Write the equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
\n" ); document.write( "x^2 +4y^2 +2x -24y +33 =0 \n" ); document.write( "

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Write the equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
\n" ); document.write( "x^2 +4y^2 +2x -24y +33 =0
\n" ); document.write( "complete the square
\n" ); document.write( "(x^2+2x+1)+4(y^2-6y+9)=-33+1+36
\n" ); document.write( "(x+1)^2+4(y-3)^2=4
\n" ); document.write( "(x+1)^2/4+(y-3)^2=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( "

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