document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=765651>Question 765651</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me with this problem?\r<BR>\n" );
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document.write( "(5+i)/(3-2i)\r<BR>\n" );
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document.write( "Possible answers:\r<BR>\n" );
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document.write( "a)(15+2i)/(9-4i)<BR>\n" );
document.write( "b)(15-2i)/(3+2i)<BR>\n" );
document.write( "c)(13+13i)/13<BR>\n" );
document.write( "d)(13+13i)/13 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #466333 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=466333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To divide two complex numbers, multiply the quotient by<BR>\n" );
document.write( "the form of ONE made from the complex conjugate of<BR>\n" );
document.write( "the denominator, namely (3 + 2i)/(3 + 2i), so we have<BR>\n" );
document.write( "(5+i)*(3+2i) / (3-2i)*(3+2i)  which equals<BR>\n" );
document.write( "(2i^2+13i+15) / (9-4i^2)<BR>\n" );
document.write( "now that can be simplified by collecting like terms<BR>\n" );
document.write( "in the numerator and replacing all i^2 with -1<BR>\n" );
document.write( "to become<BR>\n" );
document.write( "(2*(-1)+13i+15) / (9-4*(-1))<BR>\n" );
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document.write( "(13i+13) / 13 is the answer!<BR>\n" );
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