document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=764461>Question 764461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 2 &#8722; i is a root of 3x^3 &#8722; 11x^2 + 11x + 5, then what are its other roots?\r<BR>\n" );
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document.write( "A. -5, -3/3, -1,-1/3/ 1/3, 1,5/3,5<BR>\n" );
document.write( "B. 2+i and 0<BR>\n" );
document.write( "C. 2+i and 5/3<BR>\n" );
document.write( "D. 2+i and -1/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #465479 by </B><A HREF=/tutors/aboutme.mpl?userid=barunjha><B>barunjha(4)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=barunjha><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=barunjha><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=465479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> option D is correct.<BR>\n" );
document.write( "Explanation:<BR>\n" );
document.write( "As this equation has one complex root, hence one of other two roots will also be complex and it's conjugate. so the complex conjugate of 2-i is 2+i.<BR>\n" );
document.write( "so the product of these two will be 5. third root will be -1/3\r<BR>\n" );
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document.write( " (x-2+i)(x-2-i)(x+1/3)= 3x^3 &#8722; 11x^2 + 11x + 5. </SPAN>\n" );
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