document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=534983>Question 534983</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a rectangular auditorium seats 2184 people.The number of seats in each row exceeds the number of rows by 17. find the number of seats in each row </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351720 by </B><A HREF=/tutors/aboutme.mpl?userid=fcabanski><B>fcabanski(1391)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fcabanski><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=351720\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call the number of rows x<P><BR>\n" );
document.write( "Then the number of seats in each row is x+17 (it exceeds the number of rows by 17).<P><BR>\n" );
document.write( "The total number of seats, 2184 = the number of rows times the number of seats per row, which is x(x+17).<P><BR>\n" );
document.write( "x(x+17)=2184 (subtract 2184 from both sides and multiply what's inside the () by x)<P>\r<BR>\n" );
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document.write( "x&2 + 17x -2184 =0  (reverse foil )<P><BR>\n" );
document.write( "(x+56)(x-39)=0  (solve each factor for x<P><BR>\n" );
document.write( "x+56=0  (subtract 56 from both sides)  x=-56.  Throw it away because there can't be a negative number of rows.<P><BR>\n" );
document.write( "x-39=0  (Add 39 to both sides.)  x=39.\r<BR>\n" );
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document.write( "There are 39 rows, and 39+17 = 56 seats per row. </SPAN>\n" );
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