document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=534174>Question 534174</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would. You simplify this problem?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287-6i%29%2B%289%2B11i%29 ALIGN=MIDDLE  ALT=\"%287-6i%29%2B%289%2B11i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I added 6i to both sides  and got 17i then I brought the 9 and 7 down to get 7+9+17.  Then added all three numbers together and got 33. I'm not sure if this is correct </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351369 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=351369\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm confused. Maybe something got mixed up in the text of the problem or the previous answer.<BR>\n" );
document.write( "Were you supposed to add the two complex numbers or multiply them?<BR>\n" );
document.write( "If adding<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287-6i%29%2B%289%2B11i%29=%287%2B9%29%2Bi%28-6%2B11%29=16%2B5i ALIGN=MIDDLE  ALT=\"%287-6i%29%2B%289%2B11i%29=%287%2B9%29%2Bi%28-6%2B11%29=16%2B5i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When working with complex numbers, you work as if the i was a variable x.<BR>\n" );
document.write( "You cannot mix the real part of the number, with the imaginary part that has the i, just like you cannot add 16+5x.<BR>\n" );
document.write( "The only difference is that the even powers of i are real numbers, so multiplications of complex numbers can always simplify to something as short as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2B5i ALIGN=MIDDLE  ALT=\"16%2B5i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2=-1 ALIGN=MIDDLE  ALT=\"i%5E2=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E4=1 ALIGN=MIDDLE  ALT=\"i%5E4=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and all <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5Eevennumber ALIGN=MIDDLE  ALT=\"i%5Eevennumber\"   DISABLED_style= \"max-width:90%; height:auto;\" > powers simplify to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (if the exponent is a multiple of 4) or to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (if not a multiple of 4). </SPAN>\n" );
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