document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=121510>Question 121510</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the quadratic equation x^2-15=2k(x-4), find k if there are two real and equal roots. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #89165 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=89165\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the quadratic equation x^2-15=2k(x-4), find k if there are two real and equal roots.<BR>\n" );
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document.write( "The discriminant will be zero.<BR>\n" );
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document.write( "x^2-15=2kx-8k<BR>\n" );
document.write( "x^2-2kx+8k-15=0<BR>\n" );
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document.write( "Discriminant: b^2-4ac<BR>\n" );
document.write( "(2k)^2-4*1(8k-15) = 0<BR>\n" );
document.write( "4k^2-32k+60 =0<BR>\n" );
document.write( "k^2-8k+15 = 0<BR>\n" );
document.write( "(k-3)(k-5)=0<BR>\n" );
document.write( "k = 3 or k=5<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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