document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=357880>Question 357880</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 30x^2/3-4x^1/3-2=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #255482 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=255482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you need to be clearer as to what you want.\r<BR>\n" );
document.write( "\n" );
document.write( "I am going to guess that you want to solve for x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Let y=<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;\" ><BR>\n" );
document.write( "--<BR>\n" );
document.write( "rewrite your equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30x%5E%282%2F3%29-4x%5E%281%2F3%29-2=0 ALIGN=MIDDLE  ALT=\"30x%5E%282%2F3%29-4x%5E%281%2F3%29-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > to<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30y%5E2-4y-2=0 ALIGN=MIDDLE  ALT=\"30y%5E2-4y-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "use quadratic equation to solve for y<BR>\n" );
document.write( "a=30, b=-4, c=-2\r<BR>\n" );
document.write( "\n" );
document.write( "y=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-%28-4%29-Sqrt%28%28-4%29%5E2-4%2A30%2A%28-2%29%29%29%2F%282%2A30%29 ALIGN=MIDDLE  ALT=\"%28-%28-4%29-Sqrt%28%28-4%29%5E2-4%2A30%2A%28-2%29%29%29%2F%282%2A30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or y=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-%28-4%29%2BSqrt%28%28-4%29%5E2-4%2A30%2A%28-2%29%29%29%2F%282%2A30%29 ALIGN=MIDDLE  ALT=\"%28-%28-4%29%2BSqrt%28%28-4%29%5E2-4%2A30%2A%28-2%29%29%29%2F%282%2A30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y=-12/60=-1/5 or y=20/60=1/3<BR>\n" );
document.write( "--<BR>\n" );
document.write( "since y=<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;\" > then\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2F3%29=-1%2F5 ALIGN=MIDDLE  ALT=\"x%5E%281%2F3%29=-1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2F3%29=1%2F3 ALIGN=MIDDLE  ALT=\"x%5E%281%2F3%29=1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "X=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F5%29%5E3=-1%2F125 ALIGN=MIDDLE  ALT=\"%28-1%2F5%29%5E3=-1%2F125\"   DISABLED_style= \"max-width:90%; height:auto;\" > or x=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29%5E3=1%2F27 ALIGN=MIDDLE  ALT=\"%281%2F3%29%5E3=1%2F27\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "==\r<BR>\n" );
document.write( "\n" );
document.write( "you should validate the answers by substituting the x values back in the original equation to verify if one or both work </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );