document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=896003>Question 896003</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find three consecutive integers whose product is 56 larger than the cube of the smallest integer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #805820 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><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=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=805820\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> consecutive integers: (x-1), x, (x+1)\r<BR>\n" );
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document.write( "(x-1)(x)(x+1) = 56 + (x-1)^3<BR>\n" );
document.write( "x^3 - x = x^3 - 3x^2 + 3x + 55<BR>\n" );
document.write( "0 = -3x^2 + 4x + 55<BR>\n" );
document.write( "0 = 3x^2 - 4x - 55<BR>\n" );
document.write( "0 = (x - 5)(3x + 11)<BR>\n" );
document.write( "x = 5 or x = -11/3\r<BR>\n" );
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document.write( "x has to be an integer, so the integers are 4, 5, and 6. </SPAN>\n" );
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