document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=419491>Question 419491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A student opens a mathematics book to two facing pages. the product of the page numbers is 2162. find the first page number? find the second page number?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #293358 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=293358\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We could assign the page numbers to be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1 ALIGN=MIDDLE  ALT=\"x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and obtain the quadratic <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2B1%29+=+2162 ALIGN=MIDDLE  ALT=\"x%28x%2B1%29+=+2162\"   DISABLED_style= \"max-width:90%; height:auto;\" >. However the best way is to find factors of 2162 that meet the requirements.\r<BR>\n" );
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document.write( "45^2 = 2025, 46^2 = 2116, and 47^2 = 2209, so the page numbers must be within this range. We can \"guess and check\" and obtain {46,47} as the answer, since 46*47 = 2162. </SPAN>\n" );
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