document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=257422>Question 257422</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two consecutive integers is 19 less than their product. Find the integers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #189338 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=189338\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of two consecutive integers is 19 less than their product. Find the integers<BR>\n" );
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document.write( "Let x = first of two consecutive integers<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x+1 = second of two consecutive integers<BR>\n" );
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document.write( "x + x+1 = x(x+1) - 19<BR>\n" );
document.write( "2x+1 = x^2 + x - 19<BR>\n" );
document.write( "1 = x^2 - x - 19<BR>\n" );
document.write( "0 = x^2 - x - 20<BR>\n" );
document.write( "0 = (x-5)(x+4)<BR>\n" );
document.write( "x = {-4, 5}<BR>\n" );
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document.write( "Two possible answers<BR>\n" );
document.write( "5 and 6<BR>\n" );
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document.write( "Or,<BR>\n" );
document.write( "-4 and -3<BR>\n" );
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