document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101267>Question 101267</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the equation x2+mx+k =0, what relation exists between m and k if one of the roots is twice the other? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73758 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=73758\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In the equation x2+mx+k =0, what relation exists between m and k if one of the roots is twice the other?<BR>\n" );
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document.write( "Let one of the roots be \"r\" and the other root \"2r\".<BR>\n" );
document.write( "Then (x-r)(x-2r)= x^2+mx+k=0<BR>\n" );
document.write( "x^2-(3r)x+2r^2 = x^2+mx+k<BR>\n" );
document.write( "m=-3r and k=2r^2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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