document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208848>Question 1208848</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the real solutions of the given equation. Use a calculator to express solutions rounded to two decimal places.\r<BR>\n" );
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document.write( "x^(2/3) + 4x^(1/3) + 2 = 0\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 #847560 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=847560\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "There are two solutions, using the path shown by tutor @josgarithmetic.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2F3%29=-2%2Bsqrt%282%29 ALIGN=MIDDLE  ALT=\"x%5E%281%2F3%29=-2%2Bsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2F3%29=-2-sqrt%282%29 ALIGN=MIDDLE  ALT=\"x%5E%281%2F3%29=-2-sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Cubing each of those values gives the two (approximate) solutions x = -0.20101 and x - -39.79899.<br><BR>\n" );
document.write( "The graphing feature of this web site can't handle an equation like that.  Verify the solutions by making a graph using a calculator like the TI-84, or using the graphing utility at geogebra.org.<br><BR>\n" );
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