document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=975627>Question 975627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Describe the roots of the equations without solving.\r<BR>\n" );
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document.write( "x2 - 8x +12 =0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597337 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=597337\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Not clear how much latitude I am allowed.\r<BR>\n" );
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document.write( "This has no more than two roots, and if they aren't complex, they must be greater than 0, because the factors to multiply to a positive number but add to a negative number.  Therefore the factors must be (x- ) and (x-  ).  The intercept is positive 12, so it is a parabola with a vertex below the y-axis and two positive rational roots. </SPAN>\n" );
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