document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=322702>Question 322702</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many pairs of integers (x,y)   are there such that x^2-y^2 = 2400^2 ?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #231005 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=231005\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How many pairs of integers (x,y)   are there such that x^2-y^2 = 2400^2 ? \r<BR>\n" );
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document.write( "x^2 - y^2 = 2400^2 = 5760000<BR>\n" );
document.write( "we know that x is greater than y<BR>\n" );
document.write( "x could be positive or negative and so could y<BR>\n" );
document.write( "x y<BR>\n" );
document.write( "+ + x would need to be larger than y<BR>\n" );
document.write( "+ - x would be larger than y<BR>\n" );
document.write( "- + x would have to be greater in magnitude (absolute value) than y<BR>\n" );
document.write( "- - x would have to be greater in magnitude (absolute value) than y<BR>\n" );
document.write( "4 pairs\r<BR>\n" );
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