document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65224>Question 65224</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm having problems figuring out what this answer is using complex numbers. Please help! Solve in the complex number system.  8x^3 + 27 = 0  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45733 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=45733\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm having problems figuring out what this answer is using complex numbers. Please help! Solve in the complex number system. 8x^3 + 27 = 0 <BR>\n" );
document.write( "use formula <BR>\n" );
document.write( "a^3+b^3=(a+b)(a^2-ab+b^2)<BR>\n" );
document.write( "(2x)^3+(3)^3=[2x+3][(2x)^2-(2x)(3)+3^2]=0<BR>\n" );
document.write( "=(2x+3)[4x^2-6x+9]=0<BR>\n" );
document.write( "hence 2x+3=0....or......x=-3/2......or<BR>\n" );
document.write( "4x^2-6x+9=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%286+%2B-+sqrt%28+6%5E2-4%2A4%2A9+%29%29%2F%282%2A4%29+ ALIGN=MIDDLE  ALT=\"x+=+%286+%2B-+sqrt%28+6%5E2-4%2A4%2A9+%29%29%2F%282%2A4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%286+%2B-+sqrt%28+36-144+%29%29%2F%288%29+ ALIGN=MIDDLE  ALT=\"x+=+%286+%2B-+sqrt%28+36-144+%29%29%2F%288%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%286+%2B-+sqrt%28+-108+%29%29%2F%288%29+ ALIGN=MIDDLE  ALT=\"x+=+%286+%2B-+sqrt%28+-108+%29%29%2F%288%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%283+%2B-+3sqrt%28+-3+%29%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%283+%2B-+3sqrt%28+-3+%29%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = [3+3isqrt(3)]/4 or [3-3isqrt(3)]/4  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );