document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=721985>Question 721985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> identify the conic by writing the equation in standard form (4y^2)-(2x^2)-4y+8x-15=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #442596 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=442596\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The process needed is Complete the Square, and you do it for the x and for the y.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284y%5E2%29-%282x%5E2%29-4y%2B8x-15=0 ALIGN=MIDDLE  ALT=\"%284y%5E2%29-%282x%5E2%29-4y%2B8x-15=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y%5E2-4y-2x%5E2%2B8x-15=0 ALIGN=MIDDLE  ALT=\"4y%5E2-4y-2x%5E2%2B8x-15=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28y%5E2-y%29-2%28x%5E2-4x%29-15=0 ALIGN=MIDDLE  ALT=\"4%28y%5E2-y%29-2%28x%5E2-4x%29-15=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The square term to use for y is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%5E2=1%2F4 ALIGN=MIDDLE  ALT=\"%281%2F2%29%5E2=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the square term to use for x is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F2%29%5E2=4 ALIGN=MIDDLE  ALT=\"%284%2F2%29%5E2=4\"   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=4%28y%5E2-y%2B1%2F4%29-4%281%2F4%29-2%28x%5E2-4x%2B4%29-%28-2%29%284%29=15 ALIGN=MIDDLE  ALT=\"4%28y%5E2-y%2B1%2F4%29-4%281%2F4%29-2%28x%5E2-4x%2B4%29-%28-2%29%284%29=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >, combined a step as well as added and subtracted the appropriate square quantities and their results.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28y-1%2F2%29%5E2-2%28x-2%29%5E2-1%2B8=15 ALIGN=MIDDLE  ALT=\"4%28y-1%2F2%29%5E2-2%28x-2%29%5E2-1%2B8=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28y-1%2F2%29%5E2-2%28x-2%29%5E2=15-7 ALIGN=MIDDLE  ALT=\"4%28y-1%2F2%29%5E2-2%28x-2%29%5E2=15-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28y-1%2F2%29%5E2-2%28x-2%29%5E2=8 ALIGN=MIDDLE  ALT=\"4%28y-1%2F2%29%5E2-2%28x-2%29%5E2=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, now divide each side by 8<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%281%2F2%29%28y-1%2F2%29%5E2-%281%2F4%29%28x-2%29%5E2=1%29 ALIGN=MIDDLE  ALT=\"highlight%28%281%2F2%29%28y-1%2F2%29%5E2-%281%2F4%29%28x-2%29%5E2=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "HYPERLOBA.\r<BR>\n" );
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document.write( "Note that you might want to see it written as  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28%28y-1%2F2%29%5E2%29%2F2+-%28%28x-2%29%5E2%29%2F4+=1%29 ALIGN=MIDDLE  ALT=\"highlight%28%28%28y-1%2F2%29%5E2%29%2F2+-%28%28x-2%29%5E2%29%2F4+=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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