document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=986759>Question 986759</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x^2 + 7x + 3(11 - k*x) + 8k = 0\r<BR>\n" );
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document.write( "For which value of k<BR>\n" );
document.write( "there exists one solution? Determine the solution for that value. \r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #607537 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=607537\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify and use discriminant.\r<BR>\n" );
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document.write( "Skipping many of the steps, discriminant is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9k%5E2-74k-83=0 ALIGN=MIDDLE  ALT=\"9k%5E2-74k-83=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=%2874%2B-+sqrt%2874%5E2%2B36%2A83%29%29%2F18 ALIGN=MIDDLE  ALT=\"k=%2874%2B-+sqrt%2874%5E2%2B36%2A83%29%29%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=%2874%2B-+sqrt%288464%29%29%2F18 ALIGN=MIDDLE  ALT=\"k=%2874%2B-+sqrt%288464%29%29%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=%2874%2B-+92%29%2F18 ALIGN=MIDDLE  ALT=\"k=%2874%2B-+92%29%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28k=-1%29 ALIGN=MIDDLE  ALT=\"highlight%28k=-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28k=9%262%2F9%29 ALIGN=MIDDLE  ALT=\"highlight%28k=9%262%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "ONE solution required that discriminant be 0.<BR>\n" );
document.write( "Discriminant must be positive for two real solutions. </SPAN>\n" );
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