document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=976097>Question 976097</A>: <I><SPAN STYLE=\"word-break: break-all;\"> identify all double roots<BR>\n" );
document.write( "x^3+4x=4x^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597756 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=597756\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^3-4x^2+4x=0\r<BR>\n" );
document.write( "\n" );
document.write( "x(x^2+4x+4)=0\r<BR>\n" );
document.write( "\n" );
document.write( "x(x+2)(x+2)=0\r<BR>\n" );
document.write( "\n" );
document.write( "x=0,-2,-2\r<BR>\n" );
document.write( "\n" );
document.write( "The double roots are -2, and there is a \"bounce\" at x=-2\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E3-4x%5E2%2B4x%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E3-4x%5E2%2B4x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );