document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=970906>Question 970906</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Classify the conic section and write its equation in standard form.<BR>\n" );
document.write( "x^2-4y^2-6x-16y+29=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #593537 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=593537\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">       \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4y%5E2-6x-16y%2B29=0 ALIGN=MIDDLE  ALT=\"x%5E2-4y%5E2-6x-16y%2B29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-6x%29-%284y%5E2%2B16y%29%2B29=0 ALIGN=MIDDLE  ALT=\"%28x%5E2-6x%29-%284y%5E2%2B16y%29%2B29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....complete square\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-6x%2Bb%5E2%29-b%5E2-4%28y%5E2%2B4y%2Bb%5E2%29-b%5E2%2B29=0 ALIGN=MIDDLE  ALT=\"%28x%5E2-6x%2Bb%5E2%29-b%5E2-4%28y%5E2%2B4y%2Bb%5E2%29-b%5E2%2B29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >...recall the rule <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-b%29%5E2=a%5E2-2ab%2Bb%5E2 ALIGN=MIDDLE  ALT=\"%28a-b%29%5E2=a%5E2-2ab%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "in your case (for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1 ALIGN=MIDDLE  ALT=\"a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2ab=6 ALIGN=MIDDLE  ALT=\"2ab=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A1b=6 ALIGN=MIDDLE  ALT=\"2%2A1b=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3 ALIGN=MIDDLE  ALT=\"b=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and (for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1 ALIGN=MIDDLE  ALT=\"a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2ab=4 ALIGN=MIDDLE  ALT=\"2ab=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A1b=4 ALIGN=MIDDLE  ALT=\"2%2A1b=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=2 ALIGN=MIDDLE  ALT=\"b=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-6x%2B3%5E2%29-3%5E2-4%28y%5E2%2B4y%2B2%5E2%29-%28-4%29%2A2%5E2%2B29=0 ALIGN=MIDDLE  ALT=\"%28x%5E2-6x%2B3%5E2%29-3%5E2-4%28y%5E2%2B4y%2B2%5E2%29-%28-4%29%2A2%5E2%2B29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2-9-4%28y%2B2%29%5E2%2B16%2B29=0 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2-9-4%28y%2B2%29%5E2%2B16%2B29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2-4%28y%2B2%29%5E2%2B16%2B29-9=0 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2-4%28y%2B2%29%5E2%2B16%2B29-9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2-4+%28y%2B2%29%5E2%2B36+=+0 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2-4+%28y%2B2%29%5E2%2B36+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >........both sides divide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-36 ALIGN=MIDDLE  ALT=\"-36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2%2F-36-4+%28y%2B2%29%5E2%2F-36%2B36%2F-36+=+0 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2F-36-4+%28y%2B2%29%5E2%2F-36%2B36%2F-36+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28x-3%29%5E2%2F36%2B+%28y%2B2%29%5E2%2F9-1+=+0 ALIGN=MIDDLE  ALT=\"-%28x-3%29%5E2%2F36%2B+%28y%2B2%29%5E2%2F9-1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B2%29%5E2%2F9-%28x-3%29%5E2%2F36=1 ALIGN=MIDDLE  ALT=\"%28y%2B2%29%5E2%2F9-%28x-3%29%5E2%2F36=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+sqrt%28%28%28x-3%29%5E2%2F36%2B1%299%29-2%2C-sqrt%28%28%28x-3%29%5E2%2F36%2B1%299%29-2%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );