document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=185351>Question 185351</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It's been a longtime and I don't remember none of this stuff.  Your help would be greatly appreciated.\r<BR>\n" );
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document.write( "The product of the page numbers on two facing pages of a book is 132.  Find the page number?  There are n teams in a league and the number of games played is given by the polynomial n2 -n =N.  A woman softball leagues has 11 teams.  what is the total numbers of games to be played?\r<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 #139025 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=139025\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question #1: \"The product of the page numbers on two facing pages of a book is 132. Find the page number?\"\r<BR>\n" );
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document.write( "Note: consecutive numbers are of the form x, x+1, x+2, etc...\r<BR>\n" );
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document.write( "So \"The product of the page numbers on two facing pages of a book is 132\" translates to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2B1%29=132 ALIGN=MIDDLE  ALT=\"x%28x%2B1%29=132\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2B1%29=132 ALIGN=MIDDLE  ALT=\"x%28x%2B1%29=132\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx=132 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx=132\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx-132=0 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx-132=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 132 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B12%29%28x-11%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B12%29%28x-11%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B12=0 ALIGN=MIDDLE  ALT=\"x%2B12=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-11=0 ALIGN=MIDDLE  ALT=\"x-11=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the zero product property to break up the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-12 ALIGN=MIDDLE  ALT=\"x=-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=11 ALIGN=MIDDLE  ALT=\"x=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve for \"x\"\r<BR>\n" );
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document.write( "Now ignoring the negative solution <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-12 ALIGN=MIDDLE  ALT=\"x=-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > (you can't have a negative page number), this means that the only answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=11 ALIGN=MIDDLE  ALT=\"x=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the page numbers are 11 and 12\r<BR>\n" );
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document.write( "Note: 11*12=132\r<BR>\n" );
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document.write( "Question #2: \"There are n teams in a league and the number of games played is given by the polynomial n2 -n =N. A woman softball leagues has 11 teams. what is the total numbers of games to be played? \"\r<BR>\n" );
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document.write( "Note: since \"n\" is the number of teams and there are 11 softball teams, this means that in this case <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=11 ALIGN=MIDDLE  ALT=\"n=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2-n=N ALIGN=MIDDLE  ALT=\"n%5E2-n=N\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%5E2-11=N ALIGN=MIDDLE  ALT=\"11%5E2-11=N\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=11 ALIGN=MIDDLE  ALT=\"n=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > (see above)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=121-11=N ALIGN=MIDDLE  ALT=\"121-11=N\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square 11 to get 11*11=121\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=110=N ALIGN=MIDDLE  ALT=\"110=N\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract\r<BR>\n" );
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document.write( "So there are 110 games played. </SPAN>\n" );
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