document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=779018>Question 779018</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve, step by step this equation:<BR>\n" );
document.write( "x^2+x+1=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #475018 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=475018\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2+x+1 cannot be factored because it is not a square trinomial.  Subtract 1 from both sides, and then decide what to add to x^2+x to make it a square factorable trinomial!  Study the derivation of Completing the Square.  The term to add is (1/2)^2=1/4.  \r<BR>\n" );
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document.write( "Knowing THAT, let's start from the original equation again and use the term.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx%2B1=0 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%2B1=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%2Bx+=-1 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx+=-1\"   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%2Bx%2B1%2F4=-1%2B1%2F4 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%2B1%2F4=-1%2B1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%2F2%29%5E2=-1%2B1%2F4 ALIGN=MIDDLE  ALT=\"%28x%2B1%2F2%29%5E2=-1%2B1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  which you should finish on your own. </SPAN>\n" );
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