document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=748094>Question 748094</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is center and endpoints of major and minor axis and foci\r<BR>\n" );
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document.write( "2x^2 + 4y^2 + 4x - 12y = 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #455326 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=455326\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what is center and endpoints of major and minor axis and foci <BR>\n" );
document.write( "2x^2 + 4y^2 + 4x - 12y = 5<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "2x^2 + 4x + 4y^2 - 12y = 5<BR>\n" );
document.write( "Complete the Square:<BR>\n" );
document.write( "2(x^2+2x+1) + 4(y^2-3y + (9/4)) = 5 + 2 + 9<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "2(x+1)^2 + 4(y-(3/2))^2 = 16<BR>\n" );
document.write( "----<BR>\n" );
document.write( "(x+1)^2/8 + (y-(3/2))^2/4 = 1<BR>\n" );
document.write( "------<BR>\n" );
document.write( "center: (1,3/2)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "semi-major axis: sqrt(8) = 2sqrt(2)<BR>\n" );
document.write( "semi-minor axis: sqrt(4) = 2<BR>\n" );
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document.write( "major axis end-points: (1+2sqrt(2),3/2) and (1-2sqrt(2),3/2)<BR>\n" );
document.write( "minor axis end-points: (1,(3/2)+2) and (1,(3/2)-2)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "a^2 = b^2+c^2<BR>\n" );
document.write( "c = sqrt[a^2-b^2] = sqrt[8+4] = 2sqrt(3)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "foci: (1+2sqrt(3),3/2) and (1-2sqrt(3),3/2)<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------------------- </SPAN>\n" );
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