document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120196>Question 1120196</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of the second and third of three consecutive integers is 2 more than 12 times the first number </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #735868 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=735868\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = the first number.\r<BR>\n" );
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document.write( "since the numbers are consecutive, then your numbers are:\r<BR>\n" );
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document.write( "x<BR>\n" );
document.write( "x+1<BR>\n" );
document.write( "x+2\r<BR>\n" );
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document.write( "the product of the second and third numbers is equal to 2 plus 12 * the first number.\r<BR>\n" );
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document.write( "the equation for this is (x + 1) * (x + 2) = 2 + 12 * x\r<BR>\n" );
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document.write( "perform the multiplication on the left side of the equation to get:\r<BR>\n" );
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document.write( "x^2 + 2x + x + 2 = 2 + 12x\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "x^2 + 3x + 2 = 2 + 12x\r<BR>\n" );
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document.write( "subtract (2 + 12x) from both sides of the equation to get:\r<BR>\n" );
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document.write( "x^2 + 3x + 2 - (2 + 12x) = 0\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "x^2 + 3x + 2 - 2 - 12x = 0\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "x^2 - 9x = 0\r<BR>\n" );
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document.write( "factor to get:\r<BR>\n" );
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document.write( "x * (x - 9) = 0\r<BR>\n" );
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document.write( "solve for x to get:\r<BR>\n" );
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document.write( "x = 0 or x = 9\r<BR>\n" );
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document.write( "the number could be 0 or it could be 9.\r<BR>\n" );
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document.write( "when the number is 0, the sequence is 0,1,2.\r<BR>\n" );
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document.write( "the product of the second and third number is 2.\r<BR>\n" );
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document.write( "2 plus 12 * the first number is equal to 2 + 0 which is equal to 2.\r<BR>\n" );
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document.write( "the product of the second and third number is equal to 2 plus 12 * the first number is confirmed to be true when the first number is equal to 0.\r<BR>\n" );
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document.write( "when the number is 9, the sequence is 9,10,11\r<BR>\n" );
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document.write( "the product of the second and third number is 10 * 11 = 110\r<BR>\n" );
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document.write( "2 plus 12 times the first number is equal to 2 + 12 * 9 which is equal to 2 + 108 which is equal to 110.\r<BR>\n" );
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document.write( "the product of the second and third number is equal to 2 plus 12 * the first number is confirmed to be true.\r<BR>\n" );
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document.write( "looks like either 0 or 9 would be a correct solution.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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