document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=393742>Question 393742</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value(s) of k for which the equation (x+2)(x+k)=-1 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 #279405 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=279405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the value(s) of k for which the equation (x+2)(x+k)=-1 has equal roots.<BR>\n" );
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document.write( "x^2+(k+2)x+2k = -1<BR>\n" );
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document.write( "Has equal roots when the discriminant equals zero.<BR>\n" );
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document.write( "(k+2)^2 -4*(2k) = 0<BR>\n" );
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document.write( "k^2+4k+4-8k = 0<BR>\n" );
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document.write( "k^2-4k+4 = 0<BR>\n" );
document.write( "(k-2)^2 = 0<BR>\n" );
document.write( "k = 2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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