document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=355697>Question 355697</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8x%5E3-1=0+ ALIGN=MIDDLE  ALT=\"+8x%5E3-1=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #253976 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=253976\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> formula is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "8x^3 - 1 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "add 3 to both sides of the equation to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "8x^3 = 1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "divide both sides of the equation by 8 to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x^3 = (1/8)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Take the cube root of both sides of the equation to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = (1/8)^(1/3) which looks like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%281%2F8%29%5E%281%2F3%29+ ALIGN=MIDDLE  ALT=\"x+=+%281%2F8%29%5E%281%2F3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this can also be written as x = root(3,(1/8)) which looks like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+root%283%2C%281%2F8%29%29+ ALIGN=MIDDLE  ALT=\"+root%283%2C%281%2F8%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you can use your calculator to solve this to get x = (1/2).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you can also see that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+root%283%2C%281%2F8%29%29+ ALIGN=MIDDLE  ALT=\"+root%283%2C%281%2F8%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C%281%2F2%29%2A%281%2F2%29%2A%281%2F2%29%29 ALIGN=MIDDLE  ALT=\"root%283%2C%281%2F2%29%2A%281%2F2%29%2A%281%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C%281%2F2%29%5E3%29 ALIGN=MIDDLE  ALT=\"root%283%2C%281%2F2%29%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You should also be able to see that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C%281%2F2%29%5E3%29 ALIGN=MIDDLE  ALT=\"root%283%2C%281%2F2%29%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2F2%29%5E3%29%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"%28%281%2F2%29%5E3%29%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%5E%283%2A%281%2F3%29%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%5E%283%2A%281%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%5E1 ALIGN=MIDDLE  ALT=\"%281%2F2%29%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > which becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );