document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=796559>Question 796559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 19, and the sum of their squares is 185. 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 #481539 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=481539\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 19, and the sum of their squares is 185. Find the numbers.<BR>\n" );
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document.write( "x + y = 19<BR>\n" );
document.write( "x^2 + y^2 = 185<BR>\n" );
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document.write( "y = 19-x<BR>\n" );
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document.write( "x^2 + (19-x)^2 = 185<BR>\n" );
document.write( "2x^2 - 38x + 176 = 0<BR>\n" );
document.write( "x^2 - 19x + 88 = 0<BR>\n" );
document.write( "x = 8, y = 11<BR>\n" );
document.write( "x = 11, y = 8 </SPAN>\n" );
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