document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1075348>Question 1075348</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two numbers such that their sum is 6 and their product is 6. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #690025 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=690025\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) x + y = 6<BR>\n" );
document.write( "2) xy = 6<BR>\n" );
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document.write( "(6-y) * y = 6<BR>\n" );
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document.write( "6y - y^2 = 6<BR>\n" );
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document.write( "y^2 -6y + 6 = 0<BR>\n" );
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document.write( "y = (6 + square root(36 -24)) / 2 = 3 + square root(3) = 4.732<BR>\n" );
document.write( "y = (6 - square root(36 -24)) / 2 = 3 - square root(3) = 1.268<BR>\n" );
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document.write( "y = 4.732, x = 1.268<BR>\n" );
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document.write( "(1.268) * (4.732) = 6.000176 approx 6<BR>\n" );
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document.write( "our answer checks<BR>\n" );
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