document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253294>Question 253294</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x^(2/3)-15x^(1/3)+26=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #185749 by </B><A HREF=/tutors/aboutme.mpl?userid=palanisamy><B>palanisamy(496)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=palanisamy><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=185749\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The given equation is<BR>\n" );
document.write( "                x^(2/3)-15x^(1/3)+26=0  ...(1)<BR>\n" );
document.write( "                    Put x^(1/3) = y<BR>\n" );
document.write( "Then, (1) becomes  y^2-15y+26 = 0<BR>\n" );
document.write( "                   (y-2)(y-13) = 0<BR>\n" );
document.write( "                             y = 2  or  y = 13<BR>\n" );
document.write( "                       x^(1/3) = 2  or x^(1/3) = 13 <BR>\n" );
document.write( "                             x = 2^3 or x = 13^3<BR>\n" );
document.write( "                             x = 8   or x = 2197<BR>\n" );
document.write( "                               </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );