document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=814460>Question 814460</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the standard equation of: 4x^2 + 3y^2 + 8x - 24y + 51 = 0?\r<BR>\n" );
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document.write( "I understand that it is an ellipse, and I have gotten to a point of: 4(x+1)^2 + 3(y-4)^2 = 1. However, I am unsure how to progress to get a^2 and b^2 to finish finding the equation. \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #490494 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=490494\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the standard equation of: 4x^2 + 3y^2 + 8x - 24y + 51 = 0?<BR>\n" );
document.write( "I understand that it is an ellipse, and I have gotten to a point of: 4(x+1)^2 + 3(y-4)^2 = 1. However, I am unsure how to progress to get a^2 and b^2 to finish finding the equation. <BR>\n" );
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document.write( "4x^2+3y^2+8x-24y+51=0<BR>\n" );
document.write( "4x^2+8x+3y^2-24y=-51<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "4(x^2+2x+1)+3(y^2-8y+16)=-51+4+48<BR>\n" );
document.write( "4(x+1)^2+3(y-4)^2=1<BR>\n" );
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