document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1060752>Question 1060752</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular auditorium seats <BR>\n" );
document.write( "1575<BR>\n" );
document.write( " people.  The number of seats in each row exceeds the number of rows by <BR>\n" );
document.write( "10<BR>\n" );
document.write( ".  Find the number of seats in each row.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #675662 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52788)</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=675662\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "sqrt(1575) =~ 40.\r<BR>\n" );
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document.write( "<U>Answer</U>.  35 and 45. The number of seats is 45.\r<BR>\n" );
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document.write( "If you want more accurate math solution, here it is.\r<BR>\n" );
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document.write( "Let the unknown x be the number of rows PLUS 5.\r\n" );
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document.write( "Then the number of seats is (x-5).\r\n" );
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document.write( "According to the condition,  \r\n" );
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document.write( "(x+5)*(x-5) = 1575,\r\n" );
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document.write( "x^2 - 25 = 1575 --->  x^2 = 1575 + 25 = 1600  --->  x = 40.\r\n" );
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document.write( "Then you get the answer.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "In this way you get the solution of the problem mentally, without using the quadratic formula.\r<BR>\n" );
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document.write( "See the lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/How-to-solve-the-problem-on-quadratic-equation-mentally-and-avoid-boring-calculations.lesson>HOW TO solve the problem on quadratic equation mentally and avoid boring calculations</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "The referred lesson is the part of this online textbook under the topic \"<U>Quadratic equations</U>\".\r<BR>\n" );
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