document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1019655>Question 1019655</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A number is called a perfect square if it is the square of an integer. How many pairs of perfect squares differ by 495? (Order does not matter. So, the pair \"16 and 9\" is the same as \"9 and 16\".) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #635632 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=635632\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A number is called a perfect square if it is the square of an integer. How many pairs of perfect squares differ by 495? (Order does not matter. So, the pair \"16 and 9\" is the same as \"9 and 16\".<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x^2 - y^2 = 495<BR>\n" );
document.write( "-y^2 = -x^2 + 495<BR>\n" );
document.write( "y^2 = x^2 - 495<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2-495%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2-495%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "With the help of my Ti83, viewing the table I got 5<BR>\n" );
document.write( " x | y<BR>\n" );
document.write( "------<BR>\n" );
document.write( " 24| 9<BR>\n" );
document.write( " 32|23<BR>\n" );
document.write( " 52|47<BR>\n" );
document.write( " 84|81<BR>\n" );
document.write( "248|247 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );