document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1010951>Question 1010951</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( "Thank you for answering my question in advance.\r<BR>\n" );
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document.write( "My question is: <BR>\n" );
document.write( "Find two numbers whose difference is 10 and the sum of whose squares is 250. \r<BR>\n" );
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document.write( "I set up two formulas for this question: \r<BR>\n" );
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document.write( "1) x-y = 10<BR>\n" );
document.write( "2) x^2 + y^2 = 250\r<BR>\n" );
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document.write( "I am wondering where I went wrong. \r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #626456 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=626456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find two numbers whose difference is 10 and the sum of whose squares is 250. <BR>\n" );
document.write( "x - y = 10<BR>\n" );
document.write( "x = y + 10<BR>\n" );
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document.write( "Response to Comment, generally when you are dealing with word problems, you do discard the negative solution.<BR>\n" );
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document.write( "x^2 + y^2 = 250<BR>\n" );
document.write( "replace x with (y+10)<BR>\n" );
document.write( "(y+10)^2 + y^2 = 250<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "(y+10)(y+10)<BR>\n" );
document.write( "y^2 + 20y + 100 + y^2 = 25<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "2y^2 + 20y + 100 - 250 = 0<BR>\n" );
document.write( "2y^2 + 20y - 150 = 0<BR>\n" );
document.write( "Factors <BR>\n" );
document.write( "(2y + 30)(y - 5) = 0<BR>\n" );
document.write( "positive solution is what we want here<BR>\n" );
document.write( "y = 5<BR>\n" );
document.write( "Find x<BR>\n" );
document.write( "x = 5 + 10<BR>\n" );
document.write( "x = 15<BR>\n" );
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document.write( "Check in the 2nd equation<BR>\n" );
document.write( "15^2 + 5^2 = 250<BR>\n" );
document.write( "225 + 25 = 250 </SPAN>\n" );
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