document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=635912>Question 635912</A>: <I><SPAN STYLE=\"word-break: break-all;\"> factor 25g^6 -10g^3 +1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #400661 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=400661\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> factor 25g^6 -10g^3 +1<BR>\n" );
document.write( "set equation=0<BR>\n" );
document.write( "25g^6 -10g^3 +1=0<BR>\n" );
document.write( "let u=g^3<BR>\n" );
document.write( "u^2=g^6<BR>\n" );
document.write( "..<BR>\n" );
document.write( "25u^2-10u+1=0<BR>\n" );
document.write( "(5u-1)(5u-1)=0<BR>\n" );
document.write( "u=1/5 (multiplicity 2)<BR>\n" );
document.write( "u=1/5=g^3<BR>\n" );
document.write( "raise both sides to 1/3 power or take cube root of both sides<BR>\n" );
document.write( "g=5^(-1/3)<BR>\n" );
document.write( "g&#8776;0.5848...<BR>\n" );
document.write( "two factors are: irrational number 0.5848...(multiplicity 2)<BR>\n" );
document.write( "The other four factors are 2 pairs of non-real or imaginary numbers) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );