document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83583>Question 83583</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to find all of the positive values for k for which each of the following can be factored.\r<BR>\n" );
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document.write( "xsquared+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 #60098 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=60098\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find all of the positive values for k for which each of the following can be factored.\r<BR>\n" );
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document.write( "xsquared+x-k<BR>\n" );
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document.write( "x^2+x-k <BR>\n" );
document.write( "a=1,b=1,c=-k<BR>\n" );
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document.write( "Comments: The quadratic will be factorable with Real Number factors<BR>\n" );
document.write( "if b^2-4ac is greater than or equal to zero.<BR>\n" );
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document.write( "Consider b^2-4ac >=0<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( "k>=-1/4<BR>\n" );
document.write( "Factorable with Real Number factors when k>=(-1/4)<BR>\n" );
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document.write( "If you want k to be positive, let k>0.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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