document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135310>Question 1135310</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What number multiplied equals -6 and adds 7<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #752894 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=752894\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a be one of the numbers and let b be the other of the numbers.\r<BR>\n" );
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document.write( "you get a * b = -6 and you get a + b = 7\r<BR>\n" );
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document.write( "in the second equation, solve for a to get a = 7 - b.\r<BR>\n" );
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document.write( "in the first equation, replace a with 7 - b to get (7 - b) * b = -6.\r<BR>\n" );
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document.write( "simplify this to get 7b - b^2 = -6\r<BR>\n" );
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document.write( "subtract 7b and add b^2 to both sides of the equation to get 0 = b^2 - 7b - 6\r<BR>\n" );
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document.write( "this is the same as b^2 - 7b - 6 = 0\r<BR>\n" );
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document.write( "factor this equation using the quadratic formula to get:\r<BR>\n" );
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document.write( "b = 7.772001873 or b = -.7720018727.\r<BR>\n" );
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document.write( "solve for a in the first equation to get:\r<BR>\n" );
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document.write( "when b = 7.772001873, a= -6 / 7.772001873 = -.7720018727.\r<BR>\n" );
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document.write( "when b = -.7728018727, a = -6 / -.7720018727 = 7.7720018727.\r<BR>\n" );
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document.write( "add them together, you get 7.\r<BR>\n" );
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document.write( "multiply them together you get -6.\r<BR>\n" );
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document.write( "so you have two possible answers.\r<BR>\n" );
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document.write( "a = -.7720018727 when b = 7.772001873\r<BR>\n" );
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document.write( "a = 7.772001873 when b = -.7720028727\r<BR>\n" );
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document.write( "your answer should be that one of the numbers is equal to 7.772001873 and the other number is -.7720028727\r<BR>\n" );
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document.write( "multiply them together, you get -6.\r<BR>\n" );
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document.write( "add them together, you get 7.\r<BR>\n" );
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