document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117201>Question 1117201</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if it is given that f(x)=x^2-5x-14,please help me to determine the value of k, for which f(x)=k will have two unequal positive real roots </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #732213 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=732213\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  if it is given that f(x)=x^2-5x-14,please help me to determine the value of k, for which f(x)=k will have two unequal positive real roots <BR>\n" );
document.write( "Solve::<BR>\n" );
document.write( "x^2-5x-14 = k<BR>\n" );
document.write( "x^2-5x-(14+k) = 0<BR>\n" );
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document.write( "Note:: b^2-4ac must be > 0<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "25-4*1(-14-k) > 0<BR>\n" );
document.write( "25+56+4k > 0<BR>\n" );
document.write( "4k > -81<BR>\n" );
document.write( "k > -81/4<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );