document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=679765>Question 679765</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dividing Complex numbers: The question:\r<BR>\n" );
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document.write( "(5-6i)(4+7i)/(2+i)(5-6i) I tried multiplying the numerator and denominator to get a single term and got an answer of 915+610i. Then I tried multiplying the conjugate of 2+i with the same results. What am I missing? The answer key says the answer is 5+6i. How do I do this type of problem? I would appreciate the steps as I have others and need an example to follow.\r<BR>\n" );
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document.write( "Much appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #422053 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=422053\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Your answer key is wrong.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{(5\ -\ 6i)(4\ +\ 7i)}{(2\ +\ i)(5\ -\ 6i)}\">\r<BR>\n" );
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document.write( "Note the common factor in numerator and denominator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{4\ +\ 7i}{2\ +\ i}\">\r<BR>\n" );
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document.write( "Now multiply by the conjugate of the denominator multiplied by itself.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(\frac{4\ +\ 7i}{2\ +\ i}\right)\left(\frac{2\ -\ i}{2\ -\ i}\right)\ =\ \frac{15\ +\ 10i}{5}\ =\ 3\ +\ 2i\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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