document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=847617>Question 847617</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "the sum of the squares of two positive integers is 272. The difference of the two integers is 12. Find the two integers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #510630 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley79><B>checkley79(3341)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley79><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=510630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X-Y=12 OR X=Y+12<BR>\n" );
document.write( "(Y+12)^2+Y^2=272<BR>\n" );
document.write( "Y^2+24Y+144+Y^2=272<BR>\n" );
document.write( "2Y^2+24Y+144-272=0<BR>\n" );
document.write( "2Y^2+24Y-128=0<BR>\n" );
document.write( "2(Y^2+12-64)=0<BR>\n" );
document.write( "2(Y+16)(Y-4)=0<BR>\n" );
document.write( "Y-4=0<BR>\n" );
document.write( "Y=4 ANS.<BR>\n" );
document.write( "X=4+12X=16 ANS.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "4^2+16^2=272<BR>\n" );
document.write( "16+256=272<BR>\n" );
document.write( "272=272 </SPAN>\n" );
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