document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208828>Question 1208828</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Note: \r<BR>\n" );
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document.write( "When I use the word \"bar\" after the complex number expressions, I simply mean there is a bar over each expression. \r<BR>\n" );
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document.write( "Given z = 3 - 4i and w = 8 + 3i, write each expression in the standard form <BR>\n" );
document.write( "a + bi. \r<BR>\n" );
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document.write( "1. z + z bar\r<BR>\n" );
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document.write( "2. w - w bar\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 #847306 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52778)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=847306\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Given z = 3 - 4i and w = 8 + 3i, write each expression in the standard form <BR>\n" );
document.write( "a + bi. \r<BR>\n" );
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document.write( "1. z + z bar\r<BR>\n" );
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document.write( "2. w - w bar<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~\r<BR>\n" );
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document.write( "(1)  z + z bar = (3-4i) + (3+4i) = 3 + 3 = 6.\r\n" );
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document.write( "     <U>Post-solution note</U> :  z + z bar is always doubled real part of z,\r\n" );
document.write( "                           and has zero imaginary part.\r\n" );
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document.write( "(2)  w - w bar = (8+3i) - (8-3i) = 3i - (-3i) = 3i + 3i = 6i.\r\n" );
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document.write( "     <U>Post-solution note</U> :  w - w bar is always doubled imaginary part of w  \r\n" );
document.write( "                           and has zero real part.\r\n" );
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document.write( "Solved.\r<BR>\n" );
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