document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=700225>Question 700225</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you solve  f(x)= x6 - 1\r<BR>\n" );
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document.write( "where x6 is x to the sixth power, I have found -1 and 1 as solutions but there are 4 more  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #431747 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=431747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+x%5E6+-+1+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+x%5E6+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+x%5E6+-+1+ ALIGN=MIDDLE  ALT=\"+0+=+x%5E6+-+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%5E6+=+1+ ALIGN=MIDDLE  ALT=\"+x%5E6+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are 6 solutions, and you have 2 of them:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+ ALIGN=MIDDLE  ALT=\"+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1+ ALIGN=MIDDLE  ALT=\"+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The other 4 solutions are the imaginary roots: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+root%28+6%2C1+%29+ ALIGN=MIDDLE  ALT=\"+root%28+6%2C1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "The argand circle has real numbers plotted horizontally<BR>\n" );
document.write( "and imaginary number vertically.<BR>\n" );
document.write( "The 6 solutions are spaced equally on this circle<BR>\n" );
document.write( "60 degrees apart starting with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1 ALIGN=MIDDLE  ALT=\"+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F2+%2B+%28sqrt%283%29%2F2%29%2Ai+ ALIGN=MIDDLE  ALT=\"+1%2F2+%2B+%28sqrt%283%29%2F2%29%2Ai+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1%2F2+%2B+%28sqrt%283%29%2F2%29%2Ai+ ALIGN=MIDDLE  ALT=\"+-1%2F2+%2B+%28sqrt%283%29%2F2%29%2Ai+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1+ ALIGN=MIDDLE  ALT=\"+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1%2F2+-+%28sqrt%283%29%2F2%29%2Ai+ ALIGN=MIDDLE  ALT=\"+-1%2F2+-+%28sqrt%283%29%2F2%29%2Ai+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1%2F2+%2B+%28sqrt%283%29%2F2%29%2Ai+ ALIGN=MIDDLE  ALT=\"+-1%2F2+%2B+%28sqrt%283%29%2F2%29%2Ai+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "These are just 30-60-90 triangles scaled down by 1/2<BR>\n" );
document.write( "I'll check one of these:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+-1%2F2+-+%28sqrt%283%29+%2F+2%29+%2Ai%29%5E6+ ALIGN=MIDDLE  ALT=\"+%28+-1%2F2+-+%28sqrt%283%29+%2F+2%29+%2Ai%29%5E6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+1%2F4+%2B+%28sqrt%283%29+%2F+2%29%2Ai++%2B+%283%2F4%29%2Ai%5E2+%29%5E3+ ALIGN=MIDDLE  ALT=\"+%28+1%2F4+%2B+%28sqrt%283%29+%2F+2%29%2Ai++%2B+%283%2F4%29%2Ai%5E2+%29%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+-1%2F2+%2B++%28sqrt%283%29+%2F+2%29%2Ai+%29%5E3+ ALIGN=MIDDLE  ALT=\"+%28+-1%2F2+%2B++%28sqrt%283%29+%2F+2%29%2Ai+%29%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+-1%2F2+%2B++%28sqrt%283%29+%2F+2%29%2Ai+%29%2A%28+-1%2F2+-+%28sqrt%283%29+%2F+2%29+%2Ai+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F4+-+%283%2F4%29%2Ai%5E2+ ALIGN=MIDDLE  ALT=\"+1%2F4+-+%283%2F4%29%2Ai%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F4+%2B+3%2F4+=+1+ ALIGN=MIDDLE  ALT=\"+1%2F4+%2B+3%2F4+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Hope this makes sense\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );