document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=830830>Question 830830</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve Oblique conic : 10x2 +24xy + 17 y2 -9 = 0 <BR>\n" );
document.write( "1) Identify the conic.  Explain your reasoning.<BR>\n" );
document.write( "2.)    Put the equation for the conic in standard form.<BR>\n" );
document.write( "3.)    State the Domain and Range of the Conic<BR>\n" );
document.write( "4.)    Graph the conic with foci, center, vertices, directrices, and asymptotes as needed for the conic.  Be sure to label each element.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #501085 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=501085\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I tried to do the calculations Edwin was doing, but I kept making calculations/arithmetic mistakes.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Here are my calculations (probably with arithmetic mistakes again) about range and domain.<BR>\n" );
document.write( "From <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%5E2%2B24xy%2B17y%5E2-9=0 ALIGN=MIDDLE  ALT=\"10x%5E2%2B24xy%2B17y%5E2-9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "given an <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > value we can calculate two complex <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > values,<BR>\n" );
document.write( "and given a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > value we can calculate two complex <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > values<BR>\n" );
document.write( "by solving the equation as a quadratic equation.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Solving for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2817%29y%5E2%2B%2824x%29y%2B%2810x%5E2-9%29=0 ALIGN=MIDDLE  ALT=\"%2817%29y%5E2%2B%2824x%29y%2B%2810x%5E2-9%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > , we find real solutions when<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2824x%29%5E2-4%2817%29%2810x%5E2-9%29%3E=0 ALIGN=MIDDLE  ALT=\"%2824x%29%5E2-4%2817%29%2810x%5E2-9%29%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=576x%5E2-68%2810x%5E2-9%29%3E=0 ALIGN=MIDDLE  ALT=\"576x%5E2-68%2810x%5E2-9%29%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=576x%5E2-680x%5E2%2B612%3E=0 ALIGN=MIDDLE  ALT=\"576x%5E2-680x%5E2%2B612%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-104x%5E2%2B612%3E=0 ALIGN=MIDDLE  ALT=\"-104x%5E2%2B612%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=612%3E=104x%5E2 ALIGN=MIDDLE  ALT=\"612%3E=104x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%3C=612%2F104 ALIGN=MIDDLE  ALT=\"x%5E2%3C=612%2F104\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-sqrt%28612%2F104%29%3C=x%3C=sqrt%28612%2F104%29%29 ALIGN=MIDDLE  ALT=\"highlight%28-sqrt%28612%2F104%29%3C=x%3C=sqrt%28612%2F104%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The approximate values are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2.425823%3C=x%3C=2.425823 ALIGN=MIDDLE  ALT=\"-2.425823%3C=x%3C=2.425823\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I believe that is the domain.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Solving 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;\" > the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%29x%5E2%2B%2824y%29x%2B%2817y%5E2-9%29=0 ALIGN=MIDDLE  ALT=\"%2810%29x%5E2%2B%2824y%29x%2B%2817y%5E2-9%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > , we find real solutions when<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2824y%29%5E2-4%2810%29%2817y%5E2-9%29%3E=0 ALIGN=MIDDLE  ALT=\"%2824y%29%5E2-4%2810%29%2817y%5E2-9%29%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=576y%5E2-40%2817y%5E2-9%29%3E=0 ALIGN=MIDDLE  ALT=\"576y%5E2-40%2817y%5E2-9%29%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=576y%5E2-680y%5E2%2B360%3E=0 ALIGN=MIDDLE  ALT=\"576y%5E2-680y%5E2%2B360%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-104y%5E2%2B360%3E=0 ALIGN=MIDDLE  ALT=\"-104y%5E2%2B360%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%3E=104y%5E2 ALIGN=MIDDLE  ALT=\"360%3E=104y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%3C=612%2F104 ALIGN=MIDDLE  ALT=\"y%5E2%3C=612%2F104\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-sqrt%28360%2F104%29%3C=y%3C=sqrt%28360%2F104%29%29 ALIGN=MIDDLE  ALT=\"highlight%28-sqrt%28360%2F104%29%3C=y%3C=sqrt%28360%2F104%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The approximate values are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1.860521%3C=y%3C=1.860521 ALIGN=MIDDLE  ALT=\"-1.860521%3C=y%3C=1.860521\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I believe that is the range. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );