document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=78066>Question 78066</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is twenty five and the sum of their square is three hundred and twenty five.  Find 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 #55966 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=55966\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is twenty five and the sum of their square is three hundred and twenty five. Find the numbers.<BR>\n" );
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document.write( "Let one of the numbers be \"x\"; the other must be \"25-x\".<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "x^2+(25-x)^2=325<BR>\n" );
document.write( "x^2+625-50x+x^2=325<BR>\n" );
document.write( "2x^2-50x+300=0<BR>\n" );
document.write( "x^2-25x+150=0<BR>\n" );
document.write( "x=[25+-sqrt(625-4*150)]/2<BR>\n" );
document.write( "x=[25+-5]/2<BR>\n" );
document.write( "x=15or x=10<BR>\n" );
document.write( "One of the numbers is 15; the other is 10\r<BR>\n" );
document.write( "\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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