document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1076244>Question 1076244</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference of two numbers is 4 and the sum of their squares is 106. 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 #690894 by </B><A HREF=/tutors/aboutme.mpl?userid=jorel1380><B>jorel1380(3719)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jorel1380><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=jorel1380><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=690894\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let n be the first number. Then the second number is n+4. Then:<BR>\n" );
document.write( "n²+(n+4)²=106<BR>\n" );
document.write( "2n²+8n-90=0<BR>\n" );
document.write( "n²+4n-45=0<BR>\n" );
document.write( "(n+9)(n-5)=0<BR>\n" );
document.write( "n=5 or -9<BR>\n" );
document.write( "The two numbers are either 5 and 9, or -9 and -5. &#9786;&#9786;&#9786;&#9786; </SPAN>\n" );
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