document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=831580>Question 831580</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all valves k so that the natural domain of the following function is all real numbers.\r<BR>\n" );
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document.write( "h(x)= t-1/t^2+kt+4\r<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 #501482 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=501482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all valves k so that the natural domain of the following function is all real numbers. <BR>\n" );
document.write( "h(x)= (t-1)/(t^2+kt+4)<BR>\n" );
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document.write( "Comment: The denominator must have NO Real Number roots.<BR>\n" );
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document.write( "b^2-4ac must be negative.<BR>\n" );
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document.write( "Solve: k^2 - 4*1*4 < 0<BR>\n" );
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document.write( "k^2-16 < 0<BR>\n" );
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document.write( "(k-4)(k+4) < 0<BR>\n" );
document.write( "Solution: -4 < k < 4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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