document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179673>Question 179673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I really need help with this equation with rational exponents. This problem is not from a text book, it is from a worksheet. <BR>\n" );
document.write( "(x-5)raised to the two-third power +3(x-5)raised to the one-third power-4=0 ( I couldn't figure out how to write this problem using the formula plotting system.)<BR>\n" );
document.write( "I have no idea how to work this problem.  Please help!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134593 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=134593\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can temporarily chang variables to facilitate solving problems like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%5E%282%2F3%29+%2B+3%28x-5%29%5E%281%2F3%29-4+=+0 ALIGN=MIDDLE  ALT=\"%28x-5%29%5E%282%2F3%29+%2B+3%28x-5%29%5E%281%2F3%29-4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > You can rearrange this as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-5%29%5E%281%2F3%29%29%5E2%2B3%28%28x-5%29%5E%281%2F3%29%29-4+=+0 ALIGN=MIDDLE  ALT=\"%28%28x-5%29%5E%281%2F3%29%29%5E2%2B3%28%28x-5%29%5E%281%2F3%29%29-4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " Let's substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28x-5%29%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"y+=+%28x-5%29%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to give us:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2B3y-4+=+0 ALIGN=MIDDLE  ALT=\"y%5E2%2B3y-4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-1%29%28y%2B4%29+=+0 ALIGN=MIDDLE  ALT=\"%28y-1%29%28y%2B4%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > from which:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+1 ALIGN=MIDDLE  ALT=\"y+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-4 ALIGN=MIDDLE  ALT=\"y+=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replacing the variable: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28x-5%29%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"y+=+%28x-5%29%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%5E%281%2F3%29+=+1 ALIGN=MIDDLE  ALT=\"%28x-5%29%5E%281%2F3%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%5E%281%2F3%29+=+-4 ALIGN=MIDDLE  ALT=\"%28x-5%29%5E%281%2F3%29+=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > so...<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%5E%281%2F3%29+=+1 ALIGN=MIDDLE  ALT=\"%28x-5%29%5E%281%2F3%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Raise each side to the third power.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5+=+1%5E3 ALIGN=MIDDLE  ALT=\"x-5+=+1%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%5E3+=+1 ALIGN=MIDDLE  ALT=\"1%5E3+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5+=+1 ALIGN=MIDDLE  ALT=\"x-5+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 5 to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+6%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%5E%281%2F3%29+=+-4 ALIGN=MIDDLE  ALT=\"%28x-5%29%5E%281%2F3%29+=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cube both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5+=+%28-4%29%5E3 ALIGN=MIDDLE  ALT=\"x-5+=+%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=x-5+=+-64 ALIGN=MIDDLE  ALT=\"x-5+=+-64\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 5 to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+-59%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+-59%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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