document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=808017>Question 808017</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for what value of K are the qd. equation (k+4)x^+(k+1)x+1=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 #486675 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=486675\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (k+4)x^+(k+1)x+1=0 has equal roots. \r<BR>\n" );
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document.write( "in the quadratic equation ax^2 +bx +c the roots are equal when<BR>\n" );
document.write( "the discriminant b^2-4ac = 0\r<BR>\n" );
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document.write( "comparing the equation\r<BR>\n" );
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document.write( "a= (k+4) b= (k+1) c=1\r<BR>\n" );
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document.write( "(k+1)^2-4(k+4)(1)=0\r<BR>\n" );
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document.write( "k^2+2k+1-4k-16=0\r<BR>\n" );
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document.write( "k^2-2k-15=0\r<BR>\n" );
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document.write( "k^2-5k+3k-15=0\r<BR>\n" );
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document.write( "k(k-5)+3(k-5)=0\r<BR>\n" );
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document.write( "(k-5)(k+3)=0\r<BR>\n" );
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document.write( "k- +5 OR k-3\r<BR>\n" );
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