document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=762132>Question 762132</A>: <I><SPAN STYLE=\"word-break: break-all;\"> n people shake hands at the start of a meeting. If there are 36 handshakes in all, find the value of n. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #463719 by </B><A HREF=/tutors/aboutme.mpl?userid=ramkikk66><B>ramkikk66(644)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ramkikk66><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=463719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Number of handshakes = the number of ways you can choose 2 people from a set of n (each set of 2 people will have 1 handshake)\r<BR>\n" );
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document.write( "In combinatorial terms this is C(n,2) or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2A%28n-1%29%2F2%7D%7D%0D%0A%0D%0A%7B%7B%7Bn%2A%28n-1%29%2F2+=+36 ALIGN=MIDDLE  ALT=\"n%2A%28n-1%29%2F2%7D%7D%0D%0A%0D%0A%7B%7B%7Bn%2A%28n-1%29%2F2+=+36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2A%28n-1%29+=+72 ALIGN=MIDDLE  ALT=\"n%2A%28n-1%29+=+72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2+-+n+-+72+=+0 ALIGN=MIDDLE  ALT=\"n%5E2+-+n+-+72+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solving the above quadratic equation through factorization:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2+%2B+8%2An+-+9%2An+-+72+=+0 ALIGN=MIDDLE  ALT=\"n%5E2+%2B+8%2An+-+9%2An+-+72+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2A%28n%2B8%29+-+9%2A%28n%2B8%29+=+0 ALIGN=MIDDLE  ALT=\"n%2A%28n%2B8%29+-+9%2A%28n%2B8%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n-9%29%2A%28n%2B8%29+=+0 ALIGN=MIDDLE  ALT=\"%28n-9%29%2A%28n%2B8%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "n = 9 or n = -8<BR>\n" );
document.write( "Choosing the positive value of n, the number of people in the meeting = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%289%29 ALIGN=MIDDLE  ALT=\"highlight%289%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( ":)<BR>\n" );
document.write( " </SPAN>\n" );
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