document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=160346>Question 160346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hey,<BR>\n" );
document.write( "could you please solve the following question, thanks,<BR>\n" );
document.write( "The graph of function y= x^2 - kx + k + 8 touches the x-axis at one point. What <BR>\n" );
document.write( "is the value of k?\r<BR>\n" );
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document.write( "I will be waiting for the solution,<BR>\n" );
document.write( "and thanks again,<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #118306 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=118306\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The graph of function y= x^2 - kx + k + 8 touches the x-axis at one point. What <BR>\n" );
document.write( "is the value of k? <BR>\n" );
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document.write( "A quadratic has one solution when the discrimanant is zero.<BR>\n" );
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document.write( "Your quadratic has a = 1, b = -k,c = k+8<BR>\n" );
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document.write( "Discrimant equation:<BR>\n" );
document.write( "b^2 - 4ac = 0<BR>\n" );
document.write( "(-k)^2-4*1*(k+8) = 0<BR>\n" );
document.write( "k^2 -4k -32 = 0<BR>\n" );
document.write( "k^2-8k+4k-32 = 0<BR>\n" );
document.write( "k(k-8)+4(k-8) = 0<BR>\n" );
document.write( "(k-8)(k+4) = 0<BR>\n" );
document.write( "k = 8 or k = -4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );