document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=844079>Question 844079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One root of a quadratic equation is \"3+2i\".  Determine the other root and write the equation that has these values as its roots. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #508531 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=508531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One root of a quadratic equation is \"3+2i\". Determine the other root and write the equation that has these values as its roots.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Other root: 3-2i<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "f(x) = (x-(3+2i))(x-(3-2i))<BR>\n" );
document.write( "Rearrange:<BR>\n" );
document.write( "f(x) = ((x-3)-2i)((x-3)+2i)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "f(x) = (x-3)^2+4<BR>\n" );
document.write( "----<BR>\n" );
document.write( "f(x) = x^2 - 6x +13<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );