document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=305332>Question 305332</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two numbers are given. The sum of their squares minus twice their product is equal to 16. What is the difference between the largest and the smallest of these numbers?\r<BR>\n" );
document.write( "\n" );
document.write( "(A) 4 (B) 6 (C) 8 (D) 10 (E) 16 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #218595 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=218595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two numbers are given. The sum of their squares minus twice their product is equal to 16. What is the difference between the largest and the smallest of these numbers?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let the two numbers be x & y\r<BR>\n" );
document.write( "\n" );
document.write( "x^2+y^2-2xy = 16\r<BR>\n" );
document.write( "\n" );
document.write( "(x-y)^2= 16\r<BR>\n" );
document.write( "\n" );
document.write( "x-y =4\r<BR>\n" );
document.write( "\n" );
document.write( "OR\r<BR>\n" );
document.write( "\n" );
document.write( "-(x-y)=4\r<BR>\n" );
document.write( "\n" );
document.write( "The difference =4\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );