document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=362294>Question 362294</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all solutions, real and complex, of the equation.\r<BR>\n" );
document.write( "\n" );
document.write( "x^6-65x^3+64=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #258166 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=258166\">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=x%5E6-65x%5E3%2B64=%28x%5E3-1%29%28x%5E3-64%29+=+%28x-1%29%28x%5E2%2Bx%2B1%29%28x-4%29%28x%5E2%2B4x%2B16%29=0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >. The real roots are 1 or 4.  The complex roots are gotten using the quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-1+%2B-+sqrt%283%29i%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%28-1+%2B-+sqrt%283%29i%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-2+%2B-+2sqrt%283+%29i ALIGN=MIDDLE  ALT=\"x+=+-2+%2B-+2sqrt%283+%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );