document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=966979>Question 966979</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The rational root of the equation  2x^3-x^2-4x+2=0 is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #591082 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=591082\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The rational root of the equation 2x^3-x^2-4x+2=0 is<BR>\n" );
document.write( "we can group factor here<BR>\n" );
document.write( "rearrange<BR>\n" );
document.write( "2x^3 - 4x - x^2 + 2 = 0<BR>\n" );
document.write( "factor out 2x and -1<BR>\n" );
document.write( "2x(x^2 - 2) - 1(x^2 - 2) = 0<BR>\n" );
document.write( "Factor out (x^2-2)<BR>\n" );
document.write( "(x^2 - 2)(2x - 1) = 0<BR>\n" );
document.write( "Three solutions<BR>\n" );
document.write( "x^2 = 2<BR>\n" );
document.write( "x = +<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = -<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "2x = 1<BR>\n" );
document.write( "x = 1/2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );