document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76746>Question 76746</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321227573/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find two numbers whose sum is 10 and whose squares differ by 20 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55071 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley75><B>checkley75(3666)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley75><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=55071\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X+Y=10, X=10-Y<BR>\n" );
document.write( "X^2-Y*2=20 NOW SUBSTITITE (10-Y) FOR X & SOLVE FOR Y IN THE SECOND EQUATION<BR>\n" );
document.write( "(10-Y)^2-Y^2=20<BR>\n" );
document.write( "100-20Y+Y^2-Y^2=20<BR>\n" );
document.write( "-20Y=20-100<BR>\n" );
document.write( "-20Y=-80<BR>\n" );
document.write( "Y=-80/-20<BR>\n" );
document.write( "Y=4 ANSWER.<BR>\n" );
document.write( "X+4=10<BR>\n" );
document.write( "X=10-4<BR>\n" );
document.write( "X=6 ANSWER.<BR>\n" );
document.write( "PROOF<BR>\n" );
document.write( "6^2-4^2=20<BR>\n" );
document.write( "36-16=20<BR>\n" );
document.write( "20=20<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );