document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230601>Question 230601</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Need to find all real solutions for problems with fractional exponents and do not understand. Problem I have is x2/3 - x1/3 -20 = 0<BR>\n" );
document.write( "Do not even know where to begin with the fractions, can you help?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170770 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=170770\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x2/3 - x1/3 -20 = 0<BR>\n" );
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document.write( "I think you mean:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%282%2F3%29+=+x%5E%281%2F3%29+-+20+=+0 ALIGN=MIDDLE  ALT=\"x%5E%282%2F3%29+=+x%5E%281%2F3%29+-+20+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is a quadratic in x^(1/3).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%282%2F3%29+=+%28x%5E%281%2F3%29%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E%282%2F3%29+=+%28x%5E%281%2F3%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve it as a quadratic to find x^(1/3).<BR>\n" );
document.write( "It can be factored:<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E%281%2F3%29+-+5%29%2A%28x%5E%281%2F3%29+%2B+4%29 ALIGN=MIDDLE  ALT=\"%28x%5E%281%2F3%29+-+5%29%2A%28x%5E%281%2F3%29+%2B+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x^(1/3) = 5, -4<BR>\n" );
document.write( "x = 125, -64\r<BR>\n" );
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