document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=953603>Question 953603</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the complex number z satisfies the equation |z|=|z+2|.Show that the real part of z is -1 <BR>\n" );
document.write( "the complex number z also satisfies the equation |z|=2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582390 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=582390\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the complex number z satisfies the equation |z|=|z+2|.Show that the real part of z is -1<BR>\n" );
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document.write( "z = z+2 is a contradiction.<BR>\n" );
document.write( "Therefore z = -z-2<BR>\n" );
document.write( "2z = -2<BR>\n" );
document.write( "z = -1<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "the complex number z also satisfies the equation |z|=2<BR>\n" );
document.write( "Comment: Is this a statement or a question?<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "stan H.<BR>\n" );
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