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 #24403 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=24403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If we can see that 1 is a root of<BR>\n" );
document.write( "x^3 - 4x^2 + 2x + 1 = 0<BR>\n" );
document.write( "we can factor out x - 1 and get<BR>\n" );
document.write( "(x - 1)(x^2 - 3x - 1) = 0<BR>\n" );
document.write( "Using the quadratic formula on the second polynomial, we get<BR>\n" );
document.write( "x = (3 ± sqrt(13)) / 2 in addition to x = 1 </SPAN>\n" );
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