document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=770323>Question 770323</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find two numbers such that their sum multiplied by the sum of their squares is 5500, and their difference multiplied by the difference of their squares is 352. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #469430 by </B><A HREF=/tutors/aboutme.mpl?userid=oscargut><B>oscargut(2103)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oscargut><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=oscargut><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=469430\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "Here is a summary of the solution:<BR>\n" );
document.write( "(a+b)(a2+b2)= 5500<BR>\n" );
document.write( "(a-b) (a2-b2) = 352 then (a-b)2(a+b) = 352\r<BR>\n" );
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document.write( "Then:<BR>\n" );
document.write( "5500/(a2-b2) = 352/(a-b)2<BR>\n" );
document.write( "Then (a-b)2 must be a factor of 352 then (a-b)2 = 4 or (a-b)2 = 16<BR>\n" );
document.write( "But it can`t be 4, (a-b)2 = 16<BR>\n" );
document.write( "Then: a2+b2=250 (a-b) = 4<BR>\n" );
document.write( "So a solution is a = 13 and b = 9<BR>\n" );
document.write( "Answer: a = 13 and b = 9\r<BR>\n" );
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document.write( "You can ask me more at: mthman@gmail.com<BR>\n" );
document.write( "Thanks  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );