document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187927>Question 1187927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use a quadratic equation to find two real numbers that satisfy each equation. their sum is 12, and their product is -85 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #818940 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=818940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use a quadratic equation to find two real numbers that satisfy each equation. their sum is 12, and their product is -85<BR>\n" );
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document.write( "There are not many pairs of integers with a product of 85.<BR>\n" );
document.write( "----> -5 and 17<BR>\n" );
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document.write( "Using a quadratic:<BR>\n" );
document.write( "x*(12 - x) = -85<BR>\n" );
document.write( "x^2 - 12x - 85 = 0<BR>\n" );
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document.write( "Now to factor it, you have to find 5 and -17.<BR>\n" );
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document.write( "If the solution was not 2 integers, the quadratic would be necessary. </SPAN>\n" );
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