document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5153>Question 5153</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I've wracked my brain trying to translate this word problem into the proper quadratic equation so that I can solve it.  I know what the numbers are but can't figure out the proper format.  Here's the problem -\r<BR>\n" );
document.write( "\n" );
document.write( "\"The sum of two numbers is 10.  The sum of the squares of the two numbers is 58.  Write and solve an equation to find the two numbers.\"\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2615 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=2615\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let first number be x. Since both add to 10, the other number must be 10-x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "other info.... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+%2810-x%29%5E2+=+58 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%2810-x%29%5E2+=+58\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+100+-+20x+%2B+x%5E2+=+58 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+100+-+20x+%2B+x%5E2+=+58\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+-+20x+%2B+100+=+58 ALIGN=MIDDLE  ALT=\"2x%5E2+-+20x+%2B+100+=+58\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+-+20x+%2B+42+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2+-+20x+%2B+42+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+10x+%2B+21+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+10x+%2B+21+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(x-7)(x-3) = 0\r<BR>\n" );
document.write( "\n" );
document.write( "so x-7=0 or x-3=0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "so x is 3 or 7...the 2 are interchangeable results ie the 2 numbers are 3 and 7.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "jon.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );