document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175626>Question 175626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the additive inverse of each number\r<BR>\n" );
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document.write( "1.) 3-7i\r<BR>\n" );
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document.write( "2.) -2 + i\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 #130704 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=130704\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The additive inverse of any number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" > is that number when added to the original number results in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, in other words <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-s ALIGN=MIDDLE  ALT=\"-s\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  That is because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+%2B+%28-s%29+=+0 ALIGN=MIDDLE  ALT=\"s+%2B+%28-s%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > for all <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "In order to add two complex numbers, you add the real parts and then add the real coefficients of the imaginary parts, thus:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a+%2B+bi%29+%2B+%28c+%2B+di%29+=+%28%28a+%2B+c%29+%2B+%28b+%2B+d%29i%29 ALIGN=MIDDLE  ALT=\"%28a+%2B+bi%29+%2B+%28c+%2B+di%29+=+%28%28a+%2B+c%29+%2B+%28b+%2B+d%29i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hence, if you are trying to find the additive inverse of a complex number you need to find the additive inverse of the real part and the additive inverse of the coefficient of the imaginary part.\r<BR>\n" );
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document.write( "Problem 1.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+-+7i ALIGN=MIDDLE  ALT=\"+3+-+7i\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The additive inverse of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the additive inverse of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7 ALIGN=MIDDLE  ALT=\"-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" > so the additive inverse of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+-+7i ALIGN=MIDDLE  ALT=\"+3+-+7i\"   DISABLED_style= \"max-width:90%; height:auto;\" > must be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3+%2B+7i ALIGN=MIDDLE  ALT=\"-3+%2B+7i\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Check:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283+-+7i%29+%2B+%28-3+%2B+7i%29+=+%283+%2B+%28-3%29%29+%2B+%28%28-7%29+%2B+7%29i+=+0+%2B+0i+=+0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Do the other problem the same way. </SPAN>\n" );
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