document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1017075>Question 1017075</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the vertex of the parabola  x2+6x+3y+r=0 is on the x-axis. Find 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 #633423 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=633423\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Vertex of a parabola on the x-axis means ONE root only, REAL, and therefore<BR>\n" );
document.write( "the discriminant is 0.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B6x%2B3y%2Br=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B6x%2B3y%2Br=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y=-x%5E2-6x-r ALIGN=MIDDLE  ALT=\"3y=-x%5E2-6x-r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F3%29x%5E2-2x-%281%2F3%29r ALIGN=MIDDLE  ALT=\"y=-%281%2F3%29x%5E2-2x-%281%2F3%29r\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Discriminant here is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%29%5E2-4%2A%28-1%2F3%29%28-1%2F3%29r ALIGN=MIDDLE  ALT=\"%28-2%29%5E2-4%2A%28-1%2F3%29%28-1%2F3%29r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-4r%2F9 ALIGN=MIDDLE  ALT=\"4-4r%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You want to equate this expression, the discriminant, to 0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-4r%2F9=0 ALIGN=MIDDLE  ALT=\"4-4r%2F9=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=4r%2F9 ALIGN=MIDDLE  ALT=\"4=4r%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=r%2F9 ALIGN=MIDDLE  ALT=\"1=r%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r=9%29 ALIGN=MIDDLE  ALT=\"highlight%28r=9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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