document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80485>Question 80485</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is an equivalent form of 2/3+ i? my four options are 3-i/4, 3-i/5, 4-i/4 and 4-i/5. please help i have no idea how to do this problem!!!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57729 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=57729\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%283%2B+i%29 ALIGN=MIDDLE  ALT=\"2%2F%283%2B+i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F%283%2B+i%29%29%28%283-i%29%2F%283-i%29%29 ALIGN=MIDDLE  ALT=\"%282%2F%283%2B+i%29%29%28%283-i%29%2F%283-i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both top and bottom by the complex conjugate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-i ALIGN=MIDDLE  ALT=\"3-i\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%283-i%29%29%2F%283%2B+i%29%283-i%29%29 ALIGN=MIDDLE  ALT=\"%282%283-i%29%29%2F%283%2B+i%29%283-i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286-2i%29%2F%289-i%5E2%29 ALIGN=MIDDLE  ALT=\"%286-2i%29%2F%289-i%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Distribute and foil\r<BR>\n" );
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document.write( "Since <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;\" > we can say\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286-2i%29%2F%289%2B1%29 ALIGN=MIDDLE  ALT=\"%286-2i%29%2F%289%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286-2i%29%2F%2810%29 ALIGN=MIDDLE  ALT=\"%286-2i%29%2F%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Now factor out 2 out of the top and bottom\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283-i%29%2F%285%29 ALIGN=MIDDLE  ALT=\"%283-i%29%2F%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%283%2B+i%29 ALIGN=MIDDLE  ALT=\"2%2F%283%2B+i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283-i%29%2F%285%29 ALIGN=MIDDLE  ALT=\"%283-i%29%2F%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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