document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=314054>Question 314054</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is seven.  The sum of the squares of the two numbers is twenty-nine.  Find the two numbers.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #224517 by </B><A HREF=/tutors/aboutme.mpl?userid=unlockmath><B>unlockmath(1688)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=unlockmath><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=unlockmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=224517\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, Let x be one number and y the the other. We'll set up 2 equations as:<BR>\n" );
document.write( "x+y=7<BR>\n" );
document.write( "x^2+y^2=29<BR>\n" );
document.write( "Now do substitution:<BR>\n" );
document.write( "x=7-y<BR>\n" );
document.write( "Plug this into the second equation:<BR>\n" );
document.write( "(7-y)^2+y^2=29 Expand it out to:<BR>\n" );
document.write( "49-14y+y^2+y^2=29 Subtract 29 from both sides to get:<BR>\n" );
document.write( "2y^2-14y+20=0 Factor out a 2 to get:<BR>\n" );
document.write( "2(y^2-7y+10)=0 Factor:<BR>\n" );
document.write( "2(y-2)(y-5)=0 Solve for y to get:<BR>\n" );
document.write( "y=2<BR>\n" );
document.write( "y=5<BR>\n" );
document.write( "So we know x can be 2 and 5<BR>\n" );
document.write( "Make sense?<BR>\n" );
document.write( "RJ <BR>\n" );
document.write( "www.math-unlock.com </SPAN>\n" );
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