document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207457>Question 1207457</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find k such that the equation x^2 - kx + 4 = 0 has a repeated real solution.\r<BR>\n" );
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document.write( "Let me see.\r<BR>\n" );
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document.write( "I think the discriminant applies here.\r<BR>\n" );
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document.write( "b^2 - 4ac = 0\r<BR>\n" );
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document.write( "k^2 - 4(1)(4) = 0\r<BR>\n" );
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document.write( "k^2 - 4(4) = 0\r<BR>\n" );
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document.write( "k^2 - 16 = 0\r<BR>\n" );
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document.write( "k^2 = 16\r<BR>\n" );
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document.write( "sqrt{k^2} = sqrt{16}\r<BR>\n" );
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document.write( "k = -4 or k = 4\r<BR>\n" );
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document.write( "A. Is this correct?\r<BR>\n" );
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document.write( "B. If so, does k = -4 or does k = 4? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845334 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "(A)  It is correct.\r\n" );
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document.write( "(B)  Both k= -4  and  k= 4  give repeated root.\r\n" );
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document.write( "     In case k= -4, the polynomial is\r\n" );
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document.write( "         x^2 + 4x + 4 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  with repeated real root  x= -2.\r\n" );
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document.write( "     In case k= 4, the polynomial is\r\n" );
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document.write( "         x^2 - 4x + 4 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  with repeated real root  x= 2.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved and answered with complete explanation.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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