document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=891090>Question 891090</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two numbers such that one number is 5 greater than the other number. If the sum of their squares is 5 times the square of half the smaller number, what are 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 #539509 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=539509\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find two numbers such that one number is 5 greater than the other number. If the sum of their squares is 5 times the square of half the smaller number, what are the numbers?<BR>\n" );
document.write( "***<BR>\n" );
document.write( "let x=smaller number<BR>\n" );
document.write( "x+5=larger number<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x^2+(x+5)^2=5x^2<BR>\n" );
document.write( "x^2+x^2+10x+25=5x^2<BR>\n" );
document.write( "3x^2-10x-25=0<BR>\n" );
document.write( "(3x+5)(x-5)=0<BR>\n" );
document.write( "x=-5/3<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=5<BR>\n" );
document.write( "x+5=10<BR>\n" );
document.write( "smaller number=5<BR>\n" );
document.write( "larger number=10 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );