document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1121714>Question 1121714</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using the discriminant or otherwise, find the value of k for which the equation 3kx^2 + 4x + 2=0 has equal roots  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #737692 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=737692\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The quadratic ax^2 + bx + c will have only one root if b^2 - 4ac = 0<BR>\n" );
document.write( "4^2 = 4*3k*2<BR>\n" );
document.write( "16 = 24k<BR>\n" );
document.write( "k = 2/3<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "3(2/3)x^2 + 4x + 2 = 0<BR>\n" );
document.write( "2x^2 + 4x + 2 = 0<BR>\n" );
document.write( "x^2 + 2x + 1 = 0<BR>\n" );
document.write( "(x+1)^2 = 0<BR>\n" );
document.write( "x = -1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );