document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=795185>Question 795185</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write x^2+25y^2+6x-100y+9=0 in standard form.  Find conic and center\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 #480829 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=480829\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Complete The Square for the x and for the y, and then simplify into whichever standard for will be suitable to the type of conic section.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B25y%5E2%2B6x-100y%2B9=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B25y%5E2%2B6x-100y%2B9=0\"   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%2B6x%2B25y%5E2-100y%2B9=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B6x%2B25y%5E2-100y%2B9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B6x%29%2B+25%28y%5E2-4y%29%2B9=0 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B6x%29%2B+25%28y%5E2-4y%29%2B9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And continuing without explanation for this step section,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B6x%2B9%29%2B25%28y%5E2-4y%2B4%29%2B9=9%2B25%2A4 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B6x%2B9%29%2B25%28y%5E2-4y%2B4%29%2B9=9%2B25%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%5E2%2B25%28y-2%29%5E2=100 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%5E2%2B25%28y-2%29%5E2=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The squares are now completed.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F100%29%28%28x%2B3%29%5E2%2B25%28y-2%29%5E2%29=100%2F100 ALIGN=MIDDLE  ALT=\"%281%2F100%29%28%28x%2B3%29%5E2%2B25%28y-2%29%5E2%29=100%2F100\"   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%28x%2B3%29%5E2%2F10%5E2%2B%28y-2%29%5E2%2F2%5E2=1%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x%2B3%29%5E2%2F10%5E2%2B%28y-2%29%5E2%2F2%5E2=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Compare that to standard form of an ellipse: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "where a is the distance from either vertex to the center along the x axis, b is the distance from either vertical vertex to the center along the y axis; if assuming center were on the origin --- although for YOUR example, center is NOT...<BR>\n" );
document.write( "Standard Form for ellipse conventionally uses a for the longer axis and b for the shorter axis.<BR>\n" );
document.write( "and the center point is (h,k).\r<BR>\n" );
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document.write( "The center point for your example is (-3, 2). </SPAN>\n" );
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