document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201232>Question 201232</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A student opens his math book to two facing pages. The product of the page numbers is 1482. Find the page numbers. <BR>\n" );
document.write( "What would I use to solve this, please? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151428 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=151428\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "If the pages are two facing pages, presuming that no one ripped a page out of the book, the numbers must be consecutive, that is to say the larger one is one larger than the smaller.  So, let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> represent the left-hand page, then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x + 1\"> must be the right hand page.\r<BR>\n" );
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document.write( "Further, we are given that the product of the two page numbers is 1482, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x(x + 1) = 1482\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2 + x - 1482 = 0\">\r<BR>\n" );
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document.write( "Just solve the quadratic and exclude the negative root.  Hint:  It factors.  Since the factors of 1482 must differ by only 1, I would start looking for factors in the neighborhood of the integer part of the square root of 1482.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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