document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=113363>Question 113363</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me with this problem.<BR>\n" );
document.write( "x^3/2=10.42<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 #82492 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=82492\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I presume you want to solve for x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%283%2F2%29=125 ALIGN=MIDDLE  ALT=\"x%5E%283%2F2%29=125\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28x%29%29%5E3=125 ALIGN=MIDDLE  ALT=\"%28sqrt%28x%29%29%5E3=125\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  In general, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%28a%2Fb%29=%28root%28b%2Cx%29%29%5Ea ALIGN=MIDDLE  ALT=\"x%5E%28a%2Fb%29=%28root%28b%2Cx%29%29%5Ea\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the first thing to do is to take the cube root of both sides of the equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2Cx%5E%283%2F2%29%29=root%283%2C125%29 ALIGN=MIDDLE  ALT=\"root%283%2Cx%5E%283%2F2%29%29=root%283%2C125%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29=5 ALIGN=MIDDLE  ALT=\"sqrt%28x%29=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (because 5 X 5 X 5 = 125, and because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2F2%29=sqrt%28x%29 ALIGN=MIDDLE  ALT=\"x%5E%281%2F2%29=sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "Then you need to square both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28x%29%29%5E2=5%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%28x%29%29%5E2=5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=25 ALIGN=MIDDLE  ALT=\"x=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Done.\r<BR>\n" );
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document.write( "By the way, the steps I used don't have to be done in that order.  We could have squared 125 to get 15625 and then taken the cube root of 15625 to get 25.  I did it the way I did because the numbers stayed smaller so the arithmetic was easier.\r<BR>\n" );
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document.write( "Hope this helps,<BR>\n" );
document.write( "John </SPAN>\n" );
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