document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207397>Question 1207397</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The expression x^2 -x -a, where 0 < a < 100 can be factored into (x-p)(x+q), where p,q are positive integers. How many different values of a are there? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845248 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845248\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
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document.write( "The requirements are that (1) p and q are positive integers; (2) p-q = -1, or p = q-1; and (3) pq is less than 100.<br><BR>\n" );
document.write( "Simple enumeration shows that p can have any integer value from 1 to 9 inclusive.  That's 9 values.<br><BR>\n" );
document.write( "ANSWER: 9<br><BR>\n" );
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