document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208728>Question 1208728</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by completing the square.\r<BR>\n" );
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document.write( "x^2 + (2/3)x - 1/3 = 0\r<BR>\n" );
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document.write( "Let me see.\r<BR>\n" );
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document.write( "x^2 + (2\3)x = 1/3\r<BR>\n" );
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document.write( "[(2/3) ÷ 2]^2 = 1/9\r<BR>\n" );
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document.write( "x^2 + (2/3)x + 1/9  = 1/3 + 1/9\r<BR>\n" );
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document.write( "x^2 + (2/3)x + 1/9 = 4/9\r<BR>\n" );
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document.write( "(x +  1/3) (x + 1/3) = 4/9\r<BR>\n" );
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document.write( "(x + 1/3)^2 = 4/9\r<BR>\n" );
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document.write( "Taking the square square on both sides, I get \r<BR>\n" );
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document.write( "x + 1/3 = 2/3 & x + 1/3 = -2/3\r<BR>\n" );
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document.write( "Now solve for x by setting x + 1/3 to equal 2/3 and then -2/3. \r<BR>\n" );
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document.write( "x + 1/3 = 2/3\r<BR>\n" );
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document.write( "x = 2/3 - 1/3\r<BR>\n" );
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document.write( "x = 1/3\r<BR>\n" );
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document.write( "And \r<BR>\n" );
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document.write( "x + 1/3 = -2/3\r<BR>\n" );
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document.write( "x = -2/3 - 1/3\r<BR>\n" );
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document.write( "x = -3/3\r<BR>\n" );
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document.write( "x = -1\r<BR>\n" );
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document.write( "You say?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #847135 by </B><A HREF=/tutors/aboutme.mpl?userid=timofer><B>timofer(105)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=timofer><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=847135\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The numeric term which completes the square is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F%283%2A2%29%29%5E2=%281%2F3%29%5E2=1%2F9 ALIGN=MIDDLE  ALT=\"%282%2F%283%2A2%29%29%5E2=%281%2F3%29%5E2=1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "May go like this...<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B2x%2F3%2B1%2F9%29-3%2F9-1%2F9=0 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B2x%2F3%2B1%2F9%29-3%2F9-1%2F9=0\"   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=%28x%2B1%2F3%29%5E2-4%2F9=0 ALIGN=MIDDLE  ALT=\"%28x%2B1%2F3%29%5E2-4%2F9=0\"   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=%28x%2B1%2F3%29%5E2=4%2F9 ALIGN=MIDDLE  ALT=\"%28x%2B1%2F3%29%5E2=4%2F9\"   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=x%2B1%2F3=0%2B-+2%2F3 ALIGN=MIDDLE  ALT=\"x%2B1%2F3=0%2B-+2%2F3\"   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=x=-1%2F3%2B-+2%2F3 ALIGN=MIDDLE  ALT=\"x=-1%2F3%2B-+2%2F3\"   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=x=%28-1%2B-+2%29%2F3 ALIGN=MIDDLE  ALT=\"x=%28-1%2B-+2%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "either -1   or   +1/3 </SPAN>\n" );
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