document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=88851>Question 88851</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need some help. I am so confused on this one. I have read my book over and ovr and it is just not clicking on how to do this.\r<BR>\n" );
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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 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #64549 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=64549\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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" );
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document.write( "Assuming you mean \"factoring in the Real Number System\" b^2-4ac must be<BR>\n" );
document.write( "greater than or equal to zero\".<BR>\n" );
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document.write( "Your problem:<BR>\n" );
document.write( "a = 1; b=1; c=k<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "1^2-4*1*k>=0<BR>\n" );
document.write( "1-4k>=0<BR>\n" );
document.write( "-4k>=-1<BR>\n" );
document.write( "x <- 1/4<BR>\n" );
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document.write( "Conclusion: x^2+x-k is factorable in the Real Number System as long <BR>\n" );
document.write( "as k<=1/4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H> </SPAN>\n" );
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