document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1091494>Question 1091494</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3. Identify the conic section by writing 4x^2 + 4y^2 + 40x + 16y + 40 = 0 in standard form. (Please show how and why.)\r<BR>\n" );
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document.write( "PS. Thank you in advance!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #705886 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=705886\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Identify the conic section by writing 4x^2 + 4y^2 + 40x + 16y + 40 = 0 in standard form.<BR>\n" );
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document.write( "It's not necessary to write it in standard form.<BR>\n" );
document.write( "Both x & y have squared terms with the same coefficient (and no x*y term) --> a circle.<BR>\n" );
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document.write( "4x^2 + 4y^2 + 40x + 16y + 40 = 0<BR>\n" );
document.write( "Divide by 4<BR>\n" );
document.write( "x^2 + y^2 + 10x + 4y + 10 = 0<BR>\n" );
document.write( "x^2 + 10x + y^2 + 4y = -10<BR>\n" );
document.write( "Complete the squares for x & y<BR>\n" );
document.write( "x^2 + 10x + 25 + y^2 + 4y + 4 = -10 + 25 + 4 = 19<BR>\n" );
document.write( "(x+5)^2 + (y+2)^2 = 19<BR>\n" );
document.write( "A circle:  center at (-5,-2), r = sqrt(19)<BR>\n" );
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