document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=288666>Question 288666</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What conic does the equation x2 - 5x + 10y + 11 = 0 represent? please please help! A. parabola  <BR>\n" );
document.write( "  B. hyperbola  <BR>\n" );
document.write( "  C. circle  <BR>\n" );
document.write( "  D. ellipse  \r<BR>\n" );
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document.write( "which could it be? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209208 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=209208\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+5x+%2B+10y+%2B+11+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+5x+%2B+10y+%2B+11+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+5x+%2B+10y++=+-11 ALIGN=MIDDLE  ALT=\"x%5E2+-+5x+%2B+10y++=+-11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 11 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+10y++=+-11%2B5x ALIGN=MIDDLE  ALT=\"x%5E2+%2B+10y++=+-11%2B5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 5x to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y++=+-11%2B5x-x%5E2 ALIGN=MIDDLE  ALT=\"10y++=+-11%2B5x-x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y++=+-x%5E2%2B5x-11 ALIGN=MIDDLE  ALT=\"10y++=+-x%5E2%2B5x-11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms into descending degree.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y++=+%28-x%5E2%2B5x-11%29%2F10 ALIGN=MIDDLE  ALT=\"y++=+%28-x%5E2%2B5x-11%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 10 to isolate 'y'.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y++=+%28-x%5E2%29%2F10%2B%285x%29%2F10-11%2F10 ALIGN=MIDDLE  ALT=\"y++=+%28-x%5E2%29%2F10%2B%285x%29%2F10-11%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the fraction.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y++=+-%281%2F10%29x%5E2%2B%281%2F2%29x-11%2F10 ALIGN=MIDDLE  ALT=\"y++=+-%281%2F10%29x%5E2%2B%281%2F2%29x-11%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce and simplify.\r<BR>\n" );
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document.write( "Now that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y++=+-%281%2F10%29x%5E2%2B%281%2F2%29x-11%2F10 ALIGN=MIDDLE  ALT=\"y++=+-%281%2F10%29x%5E2%2B%281%2F2%29x-11%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"y=ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is the general equation for a parabola, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y++=+-%281%2F10%29x%5E2%2B%281%2F2%29x-11%2F10 ALIGN=MIDDLE  ALT=\"y++=+-%281%2F10%29x%5E2%2B%281%2F2%29x-11%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a parabola where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-1%2F10 ALIGN=MIDDLE  ALT=\"a=-1%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=1%2F2 ALIGN=MIDDLE  ALT=\"b=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=-11%2F10 ALIGN=MIDDLE  ALT=\"c=-11%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y++=+-%281%2F10%29x%5E2%2B%281%2F2%29x-11%2F10 ALIGN=MIDDLE  ALT=\"y++=+-%281%2F10%29x%5E2%2B%281%2F2%29x-11%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+5x+%2B+10y+%2B+11+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+5x+%2B+10y+%2B+11+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+5x+%2B+10y+%2B+11+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+5x+%2B+10y+%2B+11+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > is also a parabola.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+5x+%2B+10y+%2B+11+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+5x+%2B+10y+%2B+11+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a parabola.  </SPAN>\n" );
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