document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77417>Question 77417</A>: <I><SPAN STYLE=\"word-break: break-all;\">  How do I do this?<BR>\n" );
document.write( "Find all positive values for k for which each of the following can be factored.<BR>\n" );
document.write( "x^2 + x – k <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55557 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=55557\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It can always be factored using the quadratic formula.<BR>\n" );
document.write( "b^2-4ac for your problem = 1^2-4k=1-4k<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "If 1-4k<0 the factors will contain complex numbers.<BR>\n" );
document.write( "If 1-4k>=0 the factors will contain Real numbers.<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Do your instructions tell you there is a limitation<BR>\n" );
document.write( "on the factors?<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );