document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168324>Question 1168324</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a basketball league of x teams of which every team plays every other twice, the total number of games played is x²-x\r<BR>\n" );
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document.write( "a. How many teams are there in a league the plays a total of 72 games?\r<BR>\n" );
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document.write( "b. If there were 6 teams in the league, how many in all would be played? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #851165 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=851165\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "In a basketball league of x teams of which every team plays every other twice, <BR>\n" );
document.write( "the total number of games played is x²-x\r<BR>\n" );
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document.write( "a. How many teams are there in a league the plays a total of 72 games?\r<BR>\n" );
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document.write( "b. If there were 6 teams in the league, how many in all would be played?<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "(a)  To answer (a), you should find x from this equation\r\n" );
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document.write( "         x^2 - x = 72.\r\n" );
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document.write( "     Write it in the form x*(x-1) = 72  and guess MENTALLY two consecutive  \r\n" );
document.write( "     positive integer numbers giving 72 as the product.\r\n" );
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document.write( "     The number x is, OBVIOUSLY, 9.\r\n" );
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document.write( "     So, the number of teams on the league is 9.\r\n" );
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document.write( "(b)  To answer (b), you simply should substitute x= 6 into the formula.\r\n" );
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document.write( "     Next, you need to make an effort and calculate  6^2 - 6,\r\n" );
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document.write( "     which, I hope, you can make on your own without my help.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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