document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=947349>Question 947349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a. Jull wants to make a substitution in the equation: x^(1/3)-36=9x^(1/6) in order to convert it to a quadratic equation. Give the substitution (in form t=...) and the resulting quadratic equation. Do not solve.\r<BR>\n" );
document.write( "\n" );
document.write( "b. After making the substitution u=x^4 in the equation, Jaime found the solution u=16 and u=-4. Find the solution(s) for x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578006 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=578006\">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%5E%281%2F6%29%2Ax%5E%281%2F6%29 ALIGN=MIDDLE  ALT=\"x%5E%281%2F6%29%2Ax%5E%281%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2F6%2B1%2F6%29 ALIGN=MIDDLE  ALT=\"x%5E%281%2F6%2B1%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%282%2F6%29 ALIGN=MIDDLE  ALT=\"x%5E%282%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"x%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "That shown above is not rendering to display well on my view.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Use this substitution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=x%5E%281%2F6%29 ALIGN=MIDDLE  ALT=\"u=x%5E%281%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and   this gives you <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5E2=x%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"u%5E2=x%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "u=x^(1/6)   and   u^2=x^(1/3)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Jaime did not use the best choice for substitution.<BR>\n" );
document.write( "Also remember, you are first solving for x^(1/6). </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );