document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59095>Question 59095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help w/ the following:\r<BR>\n" );
document.write( "\n" );
document.write( "27x^3-8=0\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40525 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=40525\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Formula for the factoring of the difference of cubes:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28u%5E3-v%5E3=%28u-v%29%28u%5E2%2Buv%2Bv%5E2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28u%5E3-v%5E3=%28u-v%29%28u%5E2%2Buv%2Bv%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27x%5E3-8=0 ALIGN=MIDDLE  ALT=\"27x%5E3-8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%29%5E3-%282%29%5E3=0 ALIGN=MIDDLE  ALT=\"%283x%29%5E3-%282%29%5E3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  u=3x and v=2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x-2%29%28%283x%29%5E2%2B%283x%29%282%29%2B%282%29%5E2%29=0 ALIGN=MIDDLE  ALT=\"%283x-2%29%28%283x%29%5E2%2B%283x%29%282%29%2B%282%29%5E2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x-2%29%289x%5E2%2B6x%2B4%29=0 ALIGN=MIDDLE  ALT=\"%283x-2%29%289x%5E2%2B6x%2B4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-2=0 ALIGN=MIDDLE  ALT=\"3x-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B6x%2B4=0 ALIGN=MIDDLE  ALT=\"9x%5E2%2B6x%2B4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-2%2B2=0%2B2 ALIGN=MIDDLE  ALT=\"3x-2%2B2=0%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=2 ALIGN=MIDDLE  ALT=\"3x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2F3=2%2F3 ALIGN=MIDDLE  ALT=\"3x%2F3=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=2%2F3%29 ALIGN=MIDDLE  ALT=\"highlight%28x=2%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  This is the real solution that we found before.  You have to use the quadratic formula to find the complex solution.<BR>\n" );
document.write( "  When a quadratic equation is in standard form:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280=ax%5E2%2Bbx%2Bc%29 ALIGN=MIDDLE  ALT=\"highlight%280=ax%5E2%2Bbx%2Bc%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > the quadratic formula can be applied: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B6x%2B4=0 ALIGN=MIDDLE  ALT=\"9x%5E2%2B6x%2B4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  a=9, b=6 and c=4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-%286%29%2B-sqrt%28%286%29%5E2-4%289%29%284%29%29%29%2F%282%289%29%29 ALIGN=MIDDLE  ALT=\"x=%28-%286%29%2B-sqrt%28%286%29%5E2-4%289%29%284%29%29%29%2F%282%289%29%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=%28-6%2B-sqrt%2836-144%29%29%2F18 ALIGN=MIDDLE  ALT=\"x=%28-6%2B-sqrt%2836-144%29%29%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-6%2B-sqrt%28-108%29%29%2F18 ALIGN=MIDDLE  ALT=\"x=%28-6%2B-sqrt%28-108%29%29%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-6%2B-sqrt%28-1%29%2Asqrt%2836%29%2Asqrt%283%29%29%2F18 ALIGN=MIDDLE  ALT=\"x=%28-6%2B-sqrt%28-1%29%2Asqrt%2836%29%2Asqrt%283%29%29%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-6%2Bor-6%2Asqrt%283%29%2Ai%29%2F18 ALIGN=MIDDLE  ALT=\"x=%28-6%2Bor-6%2Asqrt%283%29%2Ai%29%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6%28-1%2B-sqrt%283%29%2Ai%29%2F%286%2A3%29 ALIGN=MIDDLE  ALT=\"x=6%28-1%2B-sqrt%283%29%2Ai%29%2F%286%2A3%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=%28-1%2B-sqrt%283%29%2Ai%29%2F3 ALIGN=MIDDLE  ALT=\"x=%28-1%2B-sqrt%283%29%2Ai%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );