document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=912722>Question 912722</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In solving the problem below, use a variable/s to represent  the unknown quantity or quantities. Formulate the equation that will solve the problem. Solve the equation and check if your solution is valid. Thank you!\r<BR>\n" );
document.write( "\n" );
document.write( "Find two numbers whose sum is 12 and the sum whose squares is 74. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #553992 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=553992\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let numbers be x & y\r<BR>\n" );
document.write( "\n" );
document.write( "x+y =12\r<BR>\n" );
document.write( "\n" );
document.write( "x^2+y^2=74\r<BR>\n" );
document.write( "\n" );
document.write( "x^2+y^2= (x+y)^2-2xy\r<BR>\n" );
document.write( "\n" );
document.write( "x+y=12\r<BR>\n" );
document.write( "\n" );
document.write( "x^2+y^2= 74 = 12^2-2xy\r<BR>\n" );
document.write( "\n" );
document.write( "74=144-2xy\r<BR>\n" );
document.write( "\n" );
document.write( "2xy=70<BR>\n" );
document.write( "xy=35<BR>\n" );
document.write( "y=35/x\r<BR>\n" );
document.write( "\n" );
document.write( "x+y=12\r<BR>\n" );
document.write( "\n" );
document.write( "x+35/x= 12<BR>\n" );
document.write( "x^2+35=12x\r<BR>\n" );
document.write( "\n" );
document.write( "x^2-12x+35=0\r<BR>\n" );
document.write( "\n" );
document.write( "x^2-7x-5x+35=0<BR>\n" );
document.write( "x(x-7)-5(x-7)=0<BR>\n" );
document.write( "(x-7)(x-5)=0<BR>\n" );
document.write( "x=7 OR 5\r<BR>\n" );
document.write( "\n" );
document.write( "when x= 7 y=5<BR>\n" );
document.write( "when x =5 y=7\r<BR>\n" );
document.write( "\n" );
document.write( "CHECK\r<BR>\n" );
document.write( "\n" );
document.write( "7^2+5^2= 49+25 = 74 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );