document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=894661>Question 894661</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you find three consecutive integers whose product is 5 greater than the cube of the middle integer?<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 #542219 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=542219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the number is x = -6\r<BR>\n" );
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document.write( "-6*-5*-4 = -120\r<BR>\n" );
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document.write( "(-5)^3 + 5 = -125 + 5 = -120\r<BR>\n" );
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document.write( "the number checks out ok.\r<BR>\n" );
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document.write( "the process is as follows:\r<BR>\n" );
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document.write( "the 3 numbers are x, x+1, x+2\r<BR>\n" );
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document.write( "(x+1)^3 + 5 = x^3 + 3x^2 + 3x + 1 + 5 which is equal to:\r<BR>\n" );
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document.write( "x^3 + 3x^2 + 3x + 6\r<BR>\n" );
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document.write( "x*(x+1)*(x+2) is equal to x^3 + 3x^2 + 2x\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "x^3 + 3x^2 + 2x = x^3 + 3x^3 + 3x + 6\r<BR>\n" );
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document.write( "subtract (x^3 + 3x^2 + 2x) from both sides of this equation to get:\r<BR>\n" );
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document.write( "0 = x + 6\r<BR>\n" );
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document.write( "solve for x to get x = -6\r<BR>\n" );
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document.write( "the rest is confirmation that was done up top.\r<BR>\n" );
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