document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=888659>Question 888659</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 #537559 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=537559\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let one number be x<BR>\n" );
document.write( "the other will be x+5\r<BR>\n" );
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document.write( "x^2+(x+5)^2 = 5(x/2)^2\r<BR>\n" );
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document.write( "x^2+x^2+10x+25=5x^2/4\r<BR>\n" );
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document.write( "multiply equation by 4\r<BR>\n" );
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document.write( "4x^2+4x^2+40x+100 = 5x^2\r<BR>\n" );
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document.write( "3x^2+40x+100=0\r<BR>\n" );
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document.write( "3x^2+30x+10x+100=0\r<BR>\n" );
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document.write( "3x(x+10)+10(x+10)=0\r<BR>\n" );
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document.write( "(x+10)(3x+10)=0\r<BR>\n" );
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document.write( "x=-10 OR -10/3\r<BR>\n" );
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document.write( "if x= -10<BR>\n" );
document.write( "then x+5 =-5\r<BR>\n" );
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document.write( "The numbers are -10,-5\r<BR>\n" );
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document.write( "-10/3 , 5/3\r<BR>\n" );
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document.write( " </SPAN>\n" );
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