document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143674>Question 143674</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have been trying this equation and just can't seem to get it.  I have been asked to solve and reduce to a quadratic form. My first answer was 8 sq root u +12=0. But I do not think that is correct.  I am to use \"u\" as a substitute for some variable in the equation.  I have chosen U to substitute for (t+4).  If anyone can let me know if I am in the right direction or how to solve this,much appreciated. \r<BR>\n" );
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document.write( "(t+4)^2/3 + 7(t+4)^1/3 +12=0.    \r<BR>\n" );
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document.write( "This is what i did.  3rd root (u^2) + 7 * 3rd root u +12 =0<BR>\n" );
document.write( "                     3rd root (u squared) + 7 * 3rd root U + 12=0<BR>\n" );
document.write( "                     (1+7) 3rd root U + 12 =0<BR>\n" );
document.write( "                      8 3rd root u = -12,  3rd root u = -12/8 reduced to -3/2<BR>\n" );
document.write( "                      Final answer -3/2+ 3rd root u or -3/2-3rd root u\r<BR>\n" );
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document.write( "I have no idea what I am doing here, so any help is appreciated. Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104553 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=104553\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have the correct general idea, but a slightly different substitution makes this much easier to handle.\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=root%283%2C%28t%2B4%29%29 ALIGN=MIDDLE  ALT=\"u=root%283%2C%28t%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substituting:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5E2%2B7u%2B12=0 ALIGN=MIDDLE  ALT=\"u%5E2%2B7u%2B12=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factoring:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28u+%2B+3%29%28u+%2B+4%29=0 ALIGN=MIDDLE  ALT=\"%28u+%2B+3%29%28u+%2B+4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=-3 ALIGN=MIDDLE  ALT=\"u=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u+=-4 ALIGN=MIDDLE  ALT=\"u+=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substituting back:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C%28t%2B4%29%29=-3 ALIGN=MIDDLE  ALT=\"root%283%2C%28t%2B4%29%29=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2B4=%28-3%29%5E3 ALIGN=MIDDLE  ALT=\"t%2B4=%28-3%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2B4=-27 ALIGN=MIDDLE  ALT=\"t%2B4=-27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=-31 ALIGN=MIDDLE  ALT=\"t=-31\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C%28t%2B4%29%29=-4 ALIGN=MIDDLE  ALT=\"root%283%2C%28t%2B4%29%29=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2B4=%28-4%29%5E3 ALIGN=MIDDLE  ALT=\"t%2B4=%28-4%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2B4=-64 ALIGN=MIDDLE  ALT=\"t%2B4=-64\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=-68 ALIGN=MIDDLE  ALT=\"t=-68\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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