document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=437240>Question 437240</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x^4/3-5x^2/3+4=0\r<BR>\n" );
document.write( "\n" );
document.write( "The answer the book gave is x=1 or x=+-8\r<BR>\n" );
document.write( "\n" );
document.write( "Mustn't it be x=+-1 or x=+-8? When is it +- and when is it only 8.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #302414 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=302414\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^4/3-5x^2/3+4=0 <BR>\n" );
document.write( "The answer the book gave is x=1 or x=+-8 <BR>\n" );
document.write( "Mustn't it be x=+-1 or x=+-8? When is it +- and when is it only 8. \r<BR>\n" );
document.write( "\n" );
document.write( "-----<BR>\n" );
document.write( "Your problem is a quadratic form:<BR>\n" );
document.write( "[x^(2/3)]^2 - 5x^(2/3) + 4 = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Let w = x^(2/3)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "w^2 - 5w + 4 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(w-4)(w-1) = 0<BR>\n" );
document.write( "w = 4 or w = 1<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Solve for \"x\":<BR>\n" );
document.write( "When x^(2/3) = 4<BR>\n" );
document.write( "x = 4^(3/2)<BR>\n" );
document.write( "x = 8<BR>\n" );
document.write( "----<BR>\n" );
document.write( "When x^(2/3) = 1<BR>\n" );
document.write( "x = 1^(3/2)<BR>\n" );
document.write( "x = 1<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Your problem could be treated as a 4th degree equation:<BR>\n" );
document.write( "x^4/3-5x^2/3+4=0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "[x^(1/3)]^4-5[x^(1/3)]^2+4 = 0<BR>\n" );
document.write( "Let w = x^(1/3)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "w^4 - 5w^2 + 4 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(w^2-4)(w^2-1) = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "w = +-2 or w = +-1<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Solve for \"x\":<BR>\n" );
document.write( "x^(1/3) = 2 then x = 8<BR>\n" );
document.write( "x^(1/3) = -2 then x = -8<BR>\n" );
document.write( "x^(1/3) = 1 then x = 1<BR>\n" );
document.write( "x^(1/3) = -1 then x = -1<BR>\n" );
document.write( "====================================\r<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );