document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030742>Question 1030742</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The set Q consists of integers q that are perfect cubes and satisfy 3^6&#8804;q^2&#8804; 3^7. Find the least and greatest members of Q.<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 #645573 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=645573\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The perfect cubes are &#177;1, &#177;8, &#177;27, &#177;64, &#177;125, &#177;216, etc...\r<BR>\n" );
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document.write( "You want <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E6+=+729+%3C=+q%5E2+%3C=+3%5E7+=+2187 ALIGN=MIDDLE  ALT=\"3%5E6+=+729+%3C=+q%5E2+%3C=+3%5E7+=+2187\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and incidentally only the perfect cube &#177;27 can satisfy this condition.\r<BR>\n" );
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document.write( "==> Q = {&#177;27}, hence the least member of Q is -27 and the greatest is 27.\r<BR>\n" );
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