document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=428350>Question 428350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find 3 consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 7 times the third </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #297765 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=297765\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "three consecutive integers are  x,  x+1  and  x+2.\r<BR>\n" );
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document.write( "x*(x+2) - (x+1) = 1+ 7(x+2)\r<BR>\n" );
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document.write( "=> x^2 + 2x - x -1 = 1 + 7x + 14\r<BR>\n" );
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document.write( "=> x^2 -6x -16 = 0\r<BR>\n" );
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document.write( "=>  x^2 -8x  + 2x -16 = 0\r<BR>\n" );
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document.write( "=> x(x-8) +2(x -8) = 0\r<BR>\n" );
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document.write( "=> (x+2)(x-8) =0\r<BR>\n" );
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document.write( "so, x=8 and x = -2 (not positive integer)\r<BR>\n" );
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document.write( "numbers are  8, 9 and 10.\r<BR>\n" );
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document.write( "    </SPAN>\n" );
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