document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=604884>Question 604884</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve.<BR>\n" );
document.write( "9x^4-9x^2+2=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #381462 by </B><A HREF=/tutors/aboutme.mpl?userid=atique.ah><B>atique.ah(27)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=atique.ah><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=381462\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solution<BR>\n" );
document.write( "Let x^2=p therefore x^4=p^2<BR>\n" );
document.write( "by substituting in the given problem we have<BR>\n" );
document.write( "9p^2-9p+2=0<BR>\n" );
document.write( "by breaking the middle term the equation can be written as<BR>\n" );
document.write( "9p^2 -6p -3p +2=0<BR>\n" );
document.write( "taking common<BR>\n" );
document.write( "3p(3p-2)-1(3p-2)=0<BR>\n" );
document.write( "(3p-1)(3p-2)=0 <BR>\n" );
document.write( "either 3p-1=0   or 3p-2=0<BR>\n" );
document.write( "if3p-1=0 then p=1/3, if 3p-2=0 then p=2/3<BR>\n" );
document.write( "by substituting x^=p<BR>\n" );
document.write( "we have x=sqrt1/3 or sqrt2/3  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );