document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1136677>Question 1136677</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The value of q for which the difference between the roots of the equation x^2-qx+8=0 is 2 are<BR>\n" );
document.write( "+-2<BR>\n" );
document.write( "+-4<BR>\n" );
document.write( "+-6<BR>\n" );
document.write( "+-8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #754495 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=754495\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "According to Vieta's Theorem, for the given equation x^2-qx+8=0, the product of the roots is 8 and the sum of the roots is q.<br><BR>\n" );
document.write( "Then, given that the difference between the two roots is 2, a very little bit of mental arithmetic (product of two numbers = 8; difference = 2) finds two solutions -- roots of 2 and 4, or roots of -2 and -4.<br><BR>\n" );
document.write( "And those roots make q either 6 or -6.<br><BR>\n" );
document.write( "ANSWER: The third choice, -6, is ONE OF the values for q for which the difference between the two roots of the equation is 2. </SPAN>\n" );
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