document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=404142>Question 404142</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For what positive numbers will the cube of a number exceed 7 times its square?  <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 #285652 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=285652\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For what positive numbers will the cube <BR>\n" );
document.write( "of a number exceed 7 times its square?<BR>\n" );
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document.write( "Solve x^3>7x^2<BR>\n" );
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document.write( "x^3-7x^2 > 0<BR>\n" );
document.write( "x^2(x-7) > 0<BR>\n" );
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document.write( "x = 0 is not a solution.<BR>\n" );
document.write( "So, x^2 must be positive.<BR>\n" );
document.write( "Since the product is positive x-7 must be positive.<BR>\n" );
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document.write( "Solve x-7 > 0<BR>\n" );
document.write( "Ans: x > 7<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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