document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=38939>Question 38939</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the irrational roots of the equation x^3-4x^2+2x+1=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #24402 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=24402\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the irrational roots of the equation x^3-4x^2+2x+1=0\r<BR>\n" );
document.write( "\n" );
document.write( "The coefficients add up to zero so \"1\" is a root and \"x-1\"<BR>\n" );
document.write( "is a factor.<BR>\n" );
document.write( "Divide by x-1 to get x^2-3x-1<BR>\n" );
document.write( "Use the quadratic formula to find the irrational zeroes:<BR>\n" );
document.write( "x=[3+sqrt(9+4)]/2 or x=[3-sqrt(9+4)]/2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );