document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175027>Question 175027</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For which value of k will the roots of 2x^2 + kx + 1 = 0 be real? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #130125 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=130125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For which value of k will the roots of 2x^2 + kx + 1 = 0 be real?<BR>\n" );
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document.write( "determinant = k^2 - 4*2*1 = k^2-8<BR>\n" );
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document.write( "For the roots to be Real the determinant must be non-negative:\r<BR>\n" );
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document.write( "k^2-8 >= 0\r<BR>\n" );
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document.write( "k^2 >= 8\r<BR>\n" );
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document.write( "k >= 2sqrt(2) or k <= -2sqrt(2)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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