document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168675>Question 168675</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is six. The sum of the squares of the two numbers is twenty-six. Find the two numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124322 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=124322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is six. The sum of the squares of the two numbers is twenty-six. Find the two numbers.<BR>\n" );
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document.write( "Let one of the numbers be \"x\".<BR>\n" );
document.write( "Then the other numberis \"6-x\".<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "x^2 + (6-x)^2 = 26<BR>\n" );
document.write( "x^2 + 36 -12x + x^2 = 26<BR>\n" );
document.write( "2x^2 + 10 -12x = 0<BR>\n" );
document.write( "x^2 - 6x + 5 = 0<BR>\n" );
document.write( "(x-5)(x-1) = 0<BR>\n" );
document.write( "x = 5 or x = 1<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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