document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=319605>Question 319605</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find y so that x^2+(y+1)x+y+4=0 has only one solution (i am not asking you to solve the quadratic in terms of y) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #228871 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=228871\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hint: 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;\" > has only one solution if <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( "In this case, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1 ALIGN=MIDDLE  ALT=\"a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=y%2B1 ALIGN=MIDDLE  ALT=\"b=y%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=y%2B4 ALIGN=MIDDLE  ALT=\"c=y%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Plug this all into the second equation provided above to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B1%29%5E2-4%281%29%28y%2B4%29=0 ALIGN=MIDDLE  ALT=\"%28y%2B1%29%5E2-4%281%29%28y%2B4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Simply solve this new equation to find the value(s) of 'y' that make <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28y%2B1%29x%2By%2B4=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28y%2B1%29x%2By%2B4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > have only one solution. </SPAN>\n" );
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