document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=602132>Question 602132</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify the following quotient of complex numbers into the form a + bi.<BR>\n" );
document.write( "-9+2i/-8-(9i)=\r<BR>\n" );
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document.write( "I have no idea where to start~ Please help!\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 #380157 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=380157\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-9%2B2i%29%2F%28-8-9i%29 ALIGN=MIDDLE  ALT=\"%28-9%2B2i%29%2F%28-8-9i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-9%2B2i%29%2F%28-8-9i%29%29%28%28-8%2B9i%29%2F%28-8%2B9i%29%29 ALIGN=MIDDLE  ALT=\"%28%28-9%2B2i%29%2F%28-8-9i%29%29%28%28-8%2B9i%29%2F%28-8%2B9i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-8%2B9i%29%2F%28-8%2B9i%29 ALIGN=MIDDLE  ALT=\"%28-8%2B9i%29%2F%28-8%2B9i%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=%28%28-9%2B2i%29%28-8%2B9i%29%29%2F%28%28-8-9i%29%28-8%2B9i%29%29 ALIGN=MIDDLE  ALT=\"%28%28-9%2B2i%29%28-8%2B9i%29%29%2F%28%28-8-9i%29%28-8%2B9i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-9%29%28-8%29%2B%28-9%29%289i%29%2B%282i%29%28-8%29%2B%282i%29%289i%29%29%2F%28%28-8-9i%29%28-8%2B9i%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL the numerator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-9%29%28-8%29%2B%28-9%29%289i%29%2B%282i%29%28-8%29%2B%282i%29%289i%29%29%2F%28%28-8%29%28-8%29%2B%28-8%29%289i%29%2B%28-9i%29%28-8%29%2B%28-9i%29%289i%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL the denominator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2872-81i-16i%2B18i%5E2%29%2F%2864-72i%2B72i-81i%5E2%29 ALIGN=MIDDLE  ALT=\"%2872-81i-16i%2B18i%5E2%29%2F%2864-72i%2B72i-81i%5E2%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=%2872-81i-16i%2B18i%5E2%29%2F%2864-72i%2B72i-81%28-1%29%29 ALIGN=MIDDLE  ALT=\"%2872-81i-16i%2B18i%5E2%29%2F%2864-72i%2B72i-81%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2 ALIGN=MIDDLE  ALT=\"i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > with -1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2872-81i-16i%2B18i%5E2%29%2F%2864-72i%2B72i%2B81%29 ALIGN=MIDDLE  ALT=\"%2872-81i-16i%2B18i%5E2%29%2F%2864-72i%2B72i%2B81%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=%2854-97i%29%2F%28145%29 ALIGN=MIDDLE  ALT=\"%2854-97i%29%2F%28145%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2854%29%2F%28145%29%2B%28%28-97%29%2F%28145%29%29i ALIGN=MIDDLE  ALT=\"%2854%29%2F%28145%29%2B%28%28-97%29%2F%28145%29%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the fraction.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54%2F145-%2897%2F145%29i ALIGN=MIDDLE  ALT=\"54%2F145-%2897%2F145%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-9%2B2i%29%2F%28-8-9i%29=54%2F145-%2897%2F145%29i ALIGN=MIDDLE  ALT=\"%28-9%2B2i%29%2F%28-8-9i%29=54%2F145-%2897%2F145%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So the expression is now in standard form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bbi ALIGN=MIDDLE  ALT=\"a%2Bbi\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=54%2F145 ALIGN=MIDDLE  ALT=\"a=54%2F145\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-97%2F145 ALIGN=MIDDLE  ALT=\"b=-97%2F145\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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