document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178729>Question 1178729</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let r, s, and t be the roots of the equation x^3 - 2x + 1 = 0 in some order. What is the maximal value of r^3 - s- t? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #808104 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=808104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3+-+2x+%2B+1+=+0 ALIGN=MIDDLE  ALT=\"x%5E3+-+2x+%2B+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........factor\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+1%29+%28x%5E2+%2B+x+-+1%29+=+0 ALIGN=MIDDLE  ALT=\"%28x+-+1%29+%28x%5E2+%2B+x+-+1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "one root is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=1 ALIGN=MIDDLE  ALT=\"r=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "use quadratic formula to find other two roots for\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+x+-+1=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+x+-+1=+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=x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   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-sqrt%281%5E2-4%2A1%2A%28-1%29%29%29%2F%282%2A1%29 ALIGN=MIDDLE  ALT=\"x=%28-1%2B-sqrt%281%5E2-4%2A1%2A%28-1%29%29%29%2F%282%2A1%29\"   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-sqrt%281%2B4%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-1%2B-sqrt%281%2B4%29%29%2F2\"   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-sqrt%285%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-1%2B-sqrt%285%29%29%2F2\"   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=s=%28-1%2Bsqrt%285%29%29%2F2 ALIGN=MIDDLE  ALT=\"s=%28-1%2Bsqrt%285%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > =><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=-1%2F2%2Bsqrt%285%29%2F2 ALIGN=MIDDLE  ALT=\"s=-1%2F2%2Bsqrt%285%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=%28-1-sqrt%285%29%29%2F2 ALIGN=MIDDLE  ALT=\"t=%28-1-sqrt%285%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=-1%2F2-sqrt%285%29%2F2 ALIGN=MIDDLE  ALT=\"t=-1%2F2-sqrt%285%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E3+-+s-+t=1%5E3+-+%28-1%2F2%2Bsqrt%285%29%2F2%29-+%28-1%2F2-sqrt%285%29%2F2%29 ALIGN=MIDDLE  ALT=\"r%5E3+-+s-+t=1%5E3+-+%28-1%2F2%2Bsqrt%285%29%2F2%29-+%28-1%2F2-sqrt%285%29%2F2%29\"   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=r%5E3+-+s-+t=1%2B1%2F2-sqrt%285%29%2F2%29%2B1%2F2%2Bsqrt%285%29%2F2 ALIGN=MIDDLE  ALT=\"r%5E3+-+s-+t=1%2B1%2F2-sqrt%285%29%2F2%29%2B1%2F2%2Bsqrt%285%29%2F2\"   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=r%5E3+-+s-+t=2 ALIGN=MIDDLE  ALT=\"r%5E3+-+s-+t=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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