document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190309>Question 190309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given m/(1+i)=1-ni, m and n are real numbers, what is the value of m+ni?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142829 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=142829\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Left side:<BR>\n" );
document.write( "m/(1+i); multiply numerator and denominator by (1-i) and we get:<BR>\n" );
document.write( "m(1-i)/(1+1)=m(1-i)/2<BR>\n" );
document.write( "Now we have:<BR>\n" );
document.write( "m(1-i)/2=1-ni  multiply each side by 2<BR>\n" );
document.write( "m-mi=2-2ni add mi and also ni to each side<BR>\n" );
document.write( "m-mi+mi+ni=2-2ni+ni+mi  collect like terms<BR>\n" );
document.write( "m+ni=2-ni+mi=2-i(n-m)\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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