document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=758601>Question 758601</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. If the product of two consecutive odd integers is 783, what is the sum of their squares?<BR>\n" );
document.write( "2. The difference between the squares of two consecutive positive integers is 2013. What is the larger integer?<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 #461583 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=461583\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. If the product of two consecutive odd integers is 783, what is the sum of their squares?<BR>\n" );
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document.write( "sqrt(783) =~ 28, the center<BR>\n" );
document.write( "--> 27 & 29<BR>\n" );
document.write( "27^2 + 29^2 = 1570<BR>\n" );
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document.write( "2. The difference between the squares of two consecutive positive integers is 2013. What is the larger integer?<BR>\n" );
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document.write( "(n+1)^2 - n^2 = 2013<BR>\n" );
document.write( "n = 1006<BR>\n" );
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