document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=687983>Question 687983</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find all the values of x satisfying the given conditions y=(x+4)^(3/2) and y=8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #425446 by </B><A HREF=/tutors/aboutme.mpl?userid=josh_jordan><B>josh_jordan(263)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josh_jordan><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=josh_jordan><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=425446\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find x, first replace 8 for y:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+=+%28x+%2B+4%29%5E%283%2F2%29 ALIGN=MIDDLE  ALT=\"8+=+%28x+%2B+4%29%5E%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next, to make things easier to see, convert the exponent to a radical:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+=+root%282%2C%28x+%2B+4%29%5E3%29 ALIGN=MIDDLE  ALT=\"8+=+root%282%2C%28x+%2B+4%29%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since we want to isolate x by itself on one side of the equation, let's first take the cube root of both sides, to get rid of the 3rd power on the right side of the equation.  This will give us:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+sqrt%28x+%2B+4%29 ALIGN=MIDDLE  ALT=\"2+=+sqrt%28x+%2B+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next, we will square both sides to get rid of the square root on the right side of our equation.  This will give us:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+=+x+%2B+4 ALIGN=MIDDLE  ALT=\"4+=+x+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract 4 from both sides and this will give us our solution for x:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+x ALIGN=MIDDLE  ALT=\"0+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  So, x = 0\r<BR>\n" );
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