document.write( "Question 600682: Write an equation of the ellipse in standard form. Then identify the major and minor axes.
\n" ); document.write( "7x^2+3y^2-28x-12y+4=-19 \n" ); document.write( "
Algebra.Com's Answer #379535 by lwsshak3(11628)\"\" \"About 
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Write an equation of the ellipse in standard form. Then identify the major and minor axes.
\n" ); document.write( "7x^2+3y^2-28x-12y+4=-19
\n" ); document.write( "complete the squares
\n" ); document.write( "7(x^2-4x+4)+3(y^2-4y+4)=-19-4+28+12
\n" ); document.write( "7(x-2)^2+3(y-2)^2=17
\n" ); document.write( "divide by 17
\n" ); document.write( "(x-2)^2/(17/7)+(y-2)^2/(17/3)=1
\n" ); document.write( "This is an equation of an ellipse with vertical major axis.
\n" ); document.write( "Its standard form: (x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k)=(x,y) coordinates of center
\n" ); document.write( "For given equation:(x-2)^2/(17/7)+(y-2)^2/(17/3)=1
\n" ); document.write( "center: (2,2)
\n" ); document.write( "a^2=17/3
\n" ); document.write( "a=√(17/3)
\n" ); document.write( "length of vertical major axis=2a=2*√(17/3)≈4.76
\n" ); document.write( "..
\n" ); document.write( "b^2=17/7
\n" ); document.write( "b=√(17/7)
\n" ); document.write( "length of minor axis=2b=2*√(17/7)≈3.12
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