document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=604906>Question 604906</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of 2 numbers is 12, and their product is 35. 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 #381476 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=381476\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"the sum of 2 numbers is 12\" ---> x+y = 12 ---> y = 12-x\r<BR>\n" );
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document.write( "\"their product is 35\" ----> xy = 35\r<BR>\n" );
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document.write( "xy = 35\r<BR>\n" );
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document.write( "x(12-x) = 35\r<BR>\n" );
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document.write( "-x^2 + 12x = 35\r<BR>\n" );
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document.write( "-x^2 + 12x - 35 = 0\r<BR>\n" );
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document.write( "x^2 - 12x + 35 = 0\r<BR>\n" );
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document.write( "(x - 7)(x - 5) = 0\r<BR>\n" );
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document.write( "x-7 = 0 or x-5 = 0\r<BR>\n" );
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document.write( "x = 7 or x = 5\r<BR>\n" );
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document.write( "So the two numbers are 5 and 7\r<BR>\n" );
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