document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043010>Question 1043010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference between two numbers is 2, and the sum of their squares is 52. Find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658088 by </B><A HREF=/tutors/aboutme.mpl?userid=jorel555><B>jorel555(1290)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jorel555><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=658088\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the two numbers be n and n+2. Then:<BR>\n" );
document.write( "n²+(n+2)²=52<BR>\n" );
document.write( "n²+n²+4n-48=0<BR>\n" );
document.write( "n²+2n-24=0<BR>\n" );
document.write( "(n+6)(n-4)=0<BR>\n" );
document.write( "n=4, -6<BR>\n" );
document.write( "The numbers are 4 and 6. &#9786;&#9786;&#9786;&#9786; </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );