document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1073898>Question 1073898</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by completing the square:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3x%5E2%2B1=4x+ ALIGN=MIDDLE  ALT=\"+-3x%5E2%2B1=4x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thanks!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #688675 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=688675\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Solve by completing the square:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%5E2%2B1 ALIGN=MIDDLE  ALT=\"-3x%5E2%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+ ALIGN=MIDDLE  ALT=\"4x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thanks!!!<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%5E2%2B1 ALIGN=MIDDLE  ALT=\"-3x%5E2%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+ ALIGN=MIDDLE  ALT=\"4x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <---->  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%5E2+-+4x ALIGN=MIDDLE  ALT=\"-3x%5E2+-+4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <--->   \r\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2A%28x%5E2+%2B+%284%2F3%29x%29 ALIGN=MIDDLE  ALT=\"-3%2A%28x%5E2+%2B+%284%2F3%29x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <---->  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+%284%2F3%29x ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%284%2F3%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <---->  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2%2A%284%2F6%29x+%2B+%284%2F6%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2%2A%284%2F6%29x+%2B+%284%2F6%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F6%29%5E2+%2B+%281%2F3%29 ALIGN=MIDDLE  ALT=\"%284%2F6%29%5E2+%2B+%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---->  \r\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2%2A%282%2F3%29x+%2B+%282%2F3%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2%2A%282%2F3%29x+%2B+%282%2F3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29%5E2+%2B+%281%2F3%29 ALIGN=MIDDLE  ALT=\"%282%2F3%29%5E2+%2B+%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <---->  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%2F3%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B2%2F3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F9+%2B+1%2F3 ALIGN=MIDDLE  ALT=\"4%2F9+%2B+1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <---->  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%2F3%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B2%2F3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F9+%2B+3%2F9 ALIGN=MIDDLE  ALT=\"4%2F9+%2B+3%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <---->  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%2F3%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B2%2F3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F9 ALIGN=MIDDLE  ALT=\"7%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <---->\r\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+2%2F3 ALIGN=MIDDLE  ALT=\"x+%2B+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = +/- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287%2F9%29 ALIGN=MIDDLE  ALT=\"sqrt%287%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <---->  x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F3+%2B-+sqrt%287%2F9%29 ALIGN=MIDDLE  ALT=\"-2%2F3+%2B-+sqrt%287%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ---->\r\n" );
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document.write( "There are two solutions:\r\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D ALIGN=MIDDLE  ALT=\"x%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F3+%2B+sqrt%287%29%2F3%29 ALIGN=MIDDLE  ALT=\"-2%2F3+%2B+sqrt%287%29%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.215 (approx.),   and   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D ALIGN=MIDDLE  ALT=\"x%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F3-sqrt%287%29%2F3 ALIGN=MIDDLE  ALT=\"-2%2F3-sqrt%287%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -1.55 (approx.).\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "Plot:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+330%2C+330%2C+-3.5%2C+3.5%2C+-5.5%2C+5.5%2C%0D%0A++++++++++-3x%5E2+%2B+1+-+4x+%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Plot y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%5E2+%2B+1+-+4x ALIGN=MIDDLE  ALT=\"-3x%5E2+%2B+1+-+4x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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