document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1074883>Question 1074883</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If two prime numbers are roots of the equation x^2-12x+k=0, what is the value of k? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #689559 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=689559\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the discriminant is sqrt (144-4k), and this has to be a perfect square.<BR>\n" );
document.write( "the root is 12+/- sqrt (144-4k) all divided by 2<BR>\n" );
document.write( "prime numbers produced by 6+/- x occur when x is odd.  <BR>\n" );
document.write( "they are limited to 5 and 7 as the roots, when the discriminant is 4, the sqrt of it= 2, and divided by 2 is 1.  For the discriminant to be 4, b^2-4ac has to be 4, and that occurs when k is  35.<BR>\n" );
document.write( "other roots would be 4,8, neither prime<BR>\n" );
document.write( "3 and 9, 2 and 10 don't work.<BR>\n" );
document.write( "x^2-12x+35=0<BR>\n" );
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