document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=331683>Question 331683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a word problem that I would like help simplifying.\r<BR>\n" );
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document.write( "The sum of 2 numbers is 20,and the sum of their squares is 218.Find the numbers. \r<BR>\n" );
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document.write( "I have created equations of x+y=20 and x*x+y*y= 218. but I am assuming I need to break down the second equation to substitute the value of 20 for the term x+y.<BR>\n" );
document.write( " Any help would be great \r<BR>\n" );
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document.write( "Thanks <BR>\n" );
document.write( "Steve </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #237762 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=237762\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x + y = 20 ___ y = 20 - x\r<BR>\n" );
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document.write( "substituting ___ x^2 + (20 - x)^2 = 218 ___ x^2 + 400 - 40x + x^2 = 218\r<BR>\n" );
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document.write( "x^2 - 20x + 91 = 0 ___ (x - 13)(x - 7) = 0\r<BR>\n" );
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document.write( "x = 13 (or 7) and y equals the other one </SPAN>\n" );
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