document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=265623>Question 265623</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you find the modulus of z= 3/(5+7i) ?   I am asked to find the modulus and Arg(z), but I cannot figure out what x & y are for |z|=sqrt(x^2+y^2) (the modulus).\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 #195286 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=195286\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do you find the modulus of z= 3/(5+7i) ? I am asked to find the modulus and Arg(z), but I cannot figure out what x & y are for |z|=sqrt(x^2+y^2) (the modulus). <BR>\n" );
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document.write( "z = 3/(5+7i)<BR>\n" );
document.write( "z = 3(5-7i)/74<BR>\n" );
document.write( "modulus = 3*sqrt(74)/74<BR>\n" );
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document.write( "Arg(z) = arctan(-7/5) =~ 125.54 degs<BR>\n" );
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