document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=451157>Question 451157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Divide. \r<BR>\n" );
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document.write( "(4+2i)/(5-6i)<BR>\n" );
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document.write( "Write your answer as a complex number in standard form. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310323 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=310323\">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=%284%2B2i%29%2F%285-6i%29 ALIGN=MIDDLE  ALT=\"%284%2B2i%29%2F%285-6i%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%284%2B2i%29%2F%285-6i%29%29%28%285%2B6i%29%2F%285%2B6i%29%29 ALIGN=MIDDLE  ALT=\"%28%284%2B2i%29%2F%285-6i%29%29%28%285%2B6i%29%2F%285%2B6i%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=%285%2B6i%29%2F%285%2B6i%29 ALIGN=MIDDLE  ALT=\"%285%2B6i%29%2F%285%2B6i%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%284%2B2i%29%285%2B6i%29%29%2F%28%285-6i%29%285%2B6i%29%29 ALIGN=MIDDLE  ALT=\"%28%284%2B2i%29%285%2B6i%29%29%2F%28%285-6i%29%285%2B6i%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%284%29%285%29%2B%284%29%286i%29%2B%282i%29%285%29%2B%282i%29%286i%29%29%2F%28%285-6i%29%285%2B6i%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%284%29%285%29%2B%284%29%286i%29%2B%282i%29%285%29%2B%282i%29%286i%29%29%2F%28%285%29%285%29%2B%285%29%286i%29%2B%28-6i%29%285%29%2B%28-6i%29%286i%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=%2820%2B24i%2B10i%2B12i%5E2%29%2F%2825%2B30i-30i-36i%5E2%29 ALIGN=MIDDLE  ALT=\"%2820%2B24i%2B10i%2B12i%5E2%29%2F%2825%2B30i-30i-36i%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=%2820%2B24i%2B10i%2B12%28-1%29%29%2F%2825%2B30i-30i-36%28-1%29%29 ALIGN=MIDDLE  ALT=\"%2820%2B24i%2B10i%2B12%28-1%29%29%2F%2825%2B30i-30i-36%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=%2820%2B24i%2B10i-12%29%2F%2825%2B30i-30i%2B36%29 ALIGN=MIDDLE  ALT=\"%2820%2B24i%2B10i-12%29%2F%2825%2B30i-30i%2B36%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=%288%2B34i%29%2F%2861%29 ALIGN=MIDDLE  ALT=\"%288%2B34i%29%2F%2861%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=%288%29%2F%2861%29%2B%28%2834%29%2F%2861%29%29i ALIGN=MIDDLE  ALT=\"%288%29%2F%2861%29%2B%28%2834%29%2F%2861%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=8%2F61%2B%2834%2F61%29i ALIGN=MIDDLE  ALT=\"8%2F61%2B%2834%2F61%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=%284%2B2i%29%2F%285-6i%29=8%2F61%2B%2834%2F61%29i ALIGN=MIDDLE  ALT=\"%284%2B2i%29%2F%285-6i%29=8%2F61%2B%2834%2F61%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=8%2F61 ALIGN=MIDDLE  ALT=\"a=8%2F61\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=34%2F61 ALIGN=MIDDLE  ALT=\"b=34%2F61\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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