document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=367099>Question 367099</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A student opens a book with two facing pages. The product of the page numbers is 1056 find the page numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #261735 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=261735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = one of the facing pages.<BR>\n" );
document.write( "let y = the other of the facing pages.\r<BR>\n" );
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document.write( "it's clear that y has to be equal to x + 1, so your 2 pages are therefore equal to:\r<BR>\n" );
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document.write( "x and (x+1)\r<BR>\n" );
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document.write( "the product of these 2 pages is equal to 1056\r<BR>\n" );
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document.write( "this means that:\r<BR>\n" );
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document.write( "x * (x+1) = 1056\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "x^2 + x = 1056\r<BR>\n" );
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document.write( "subtract 1056 from both sides of this equation to get:\r<BR>\n" );
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document.write( "x^2 + x - 1056 a= 0\r<BR>\n" );
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document.write( "your factors for this quadratic equation are:\r<BR>\n" );
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document.write( "(x - 32) * (x + 33) = 0 because:\r<BR>\n" );
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document.write( "32*33 = 1056<BR>\n" );
document.write( "33 - 32 = 1\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "x = 32 or x = -33\r<BR>\n" );
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document.write( "x can't be -33, so x = 32 is your answer.\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "x = 32<BR>\n" );
document.write( "x + 1 = 33\r<BR>\n" );
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document.write( "page 32 faces page 33.\r<BR>\n" );
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document.write( "32 * 33 = 1056.\r<BR>\n" );
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document.write( "there's your answer.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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