document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=928877>Question 928877</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of k for the equal equation (k+4) x+(k+1) x+1=0has equal roots<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563933 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=563933\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I guess you have quadratic equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28k%2B4%29x%5E2%2B%28k%2B1%29x%2B1=0 ALIGN=MIDDLE  ALT=\"%28k%2B4%29x%5E2%2B%28k%2B1%29x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "in the quadratic equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2+%2Bbx+%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2+%2Bbx+%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > the roots are equal when<BR>\n" );
document.write( "the discriminant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac+=+0 ALIGN=MIDDLE  ALT=\"b%5E2-4ac+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "comparing the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=+%28k%2B4%29 ALIGN=MIDDLE  ALT=\"a=+%28k%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b=+%28k%2B1%29 ALIGN=MIDDLE  ALT=\"+b=+%28k%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c=1 ALIGN=MIDDLE  ALT=\"+c=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28k%2B1%29%5E2-4%28k%2B4%29%281%29=0 ALIGN=MIDDLE  ALT=\"%28k%2B1%29%5E2-4%28k%2B4%29%281%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5E2%2B2k%2B1-4k-16=0 ALIGN=MIDDLE  ALT=\"k%5E2%2B2k%2B1-4k-16=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5E2-2k-15=0 ALIGN=MIDDLE  ALT=\"k%5E2-2k-15=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5E2-5k%2B3k-15=0 ALIGN=MIDDLE  ALT=\"k%5E2-5k%2B3k-15=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%28k-5%29%2B3%28k-5%29=0 ALIGN=MIDDLE  ALT=\"k%28k-5%29%2B3%28k-5%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28k-5%29%28k%2B3%29=0 ALIGN=MIDDLE  ALT=\"%28k-5%29%28k%2B3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=5 ALIGN=MIDDLE  ALT=\"k=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=-3+ ALIGN=MIDDLE  ALT=\"k=-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "check the roots:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28k%2B4%29x%5E2%2B%28k%2B1%29x%2B1=0 ALIGN=MIDDLE  ALT=\"%28k%2B4%29x%5E2%2B%28k%2B1%29x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=5 ALIGN=MIDDLE  ALT=\"k=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2B4%29x%5E2%2B%285%2B1%29x%2B1=0 ALIGN=MIDDLE  ALT=\"%285%2B4%29x%5E2%2B%285%2B1%29x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B6x%2B1=0 ALIGN=MIDDLE  ALT=\"9x%5E2%2B6x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B3x%2B3x%2B1=0 ALIGN=MIDDLE  ALT=\"9x%5E2%2B3x%2B3x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x%5E2%2B3x%29%2B%283x%2B1%29=0 ALIGN=MIDDLE  ALT=\"%289x%5E2%2B3x%29%2B%283x%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%283x%2B1%29%2B%283x%2B1%29=0 ALIGN=MIDDLE  ALT=\"3x%283x%2B1%29%2B%283x%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B1%29%283x%2B1%29=0 ALIGN=MIDDLE  ALT=\"%283x%2B1%29%283x%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >...roots will be same\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B1=0 ALIGN=MIDDLE  ALT=\"3x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1%2F3 ALIGN=MIDDLE  ALT=\"x=-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >... double solution\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+10%2C+%283x%2B1%29%283x%2B1%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+10%2C+%283x%2B1%29%283x%2B1%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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