document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=320341>Question 320341</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you show me how to solve this septic equation? There should be 7 values for x.\r<BR>\n" );
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document.write( "x^7 - 35x^6 + 507x^5 - 3921x^4 + 17388x^3 - 43956x^2 + 58352x - 31360 = 0\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "John </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #229452 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=229452\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you graph the function, you will see the roots clearly. <BR>\n" );
document.write( "Unfortunately due to the limitations of this graphing utility, they don't all show up. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, double root<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7 ALIGN=MIDDLE  ALT=\"x=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, double root<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8 ALIGN=MIDDLE  ALT=\"x=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Verify that they are indeed roots by plugging them into the equation.  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-2%2C9%2C+-4%2C+5%2C%28x-8%29%2A%28x-7%29%2A%28x-2%29%2A%28x-4%29%2A%28x-5%29%29+ ALIGN=MIDDLE   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%5E7+-+35x%5E6+%2B+507x%5E5+-+3921x%5E4+%2B+17388x%5E3+-+43956x%5E2+%2B+58352x+-+31360+=+%0D%0A%28x-2%29%5E2%28x-4%29%28x-5%29%28x-7%29%5E2%28x-8%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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