document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=402723>Question 402723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The equation x^2 + k = 6 x has two distinct real roots. Find the range of values of k.\r<BR>\n" );
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document.write( ":) =) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #284853 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=284853\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation x^2 + k = 6 x has two distinct real roots. Find the range of values of k.<BR>\n" );
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document.write( "Ans: 2 distict Real roots implies b^2-4ac > 0<BR>\n" );
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document.write( "Rearrange the equation:<BR>\n" );
document.write( "x^2-6x+k = 0<BR>\n" );
document.write( "Solve:; 6^2-4*1*k > 0<BR>\n" );
document.write( "36 -4k > 0<BR>\n" );
document.write( "36 > 4k<BR>\n" );
document.write( "k < 9<BR>\n" );
document.write( "That is the range of the values of \"k\".<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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