document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972250>Question 972250</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the discriminant to determine all values of k that would result in the equation x^2-kx+4=0 having imaginary roots.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #594586 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=594586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28k%5E2-4%2A4%29%3C0 ALIGN=MIDDLE  ALT=\"%28k%5E2-4%2A4%29%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or, the discriminant is less than zero.\r<BR>\n" );
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document.write( "That will give k for the quadratic equation in x to have complex roots with an imaginary component.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%3Ck%3C4 ALIGN=MIDDLE  ALT=\"-4%3Ck%3C4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  for the roots to have imaginary components. </SPAN>\n" );
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