document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1020794>Question 1020794</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 3 complex numbers a+bi, c+di, and e+fi. If b=3, e=-a-c, and the sum of the numbers is 2i, find d+f. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #636713 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=636713\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From the given, a+bi = a+3i, and e+fi = a-c+fi.  Together with c+di, their sum is 2a+(3+d+f)i.  This sum is supposed to be equal to 2i.\r<BR>\n" );
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document.write( "Therefore, a = 0 and 3+d+f = 2, and by transposition,\r<BR>\n" );
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