document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186575>Question 186575</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perform the complex number operations and write the answer in the a + bi form.<BR>\n" );
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document.write( "2i +  (3 - i) / (2 + 5i)\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 #139836 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=139836\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Perform the complex number operations and write the answer in the a + bi form.\r<BR>\n" );
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document.write( "2i + (3 - i) / (2 + 5i) <BR>\n" );
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document.write( "assume it's<BR>\n" );
document.write( "2i + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283-i%29%2F%282%2B5i%29 ALIGN=MIDDLE  ALT=\"%283-i%29%2F%282%2B5i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "over a single denominator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282i%282%2B5i%29+%2B+%283-i%29%29%2F%282%2B5i%29 ALIGN=MIDDLE  ALT=\"%282i%282%2B5i%29+%2B+%283-i%29%29%2F%282%2B5i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284i+%2B+10i%5E2%29+%2B+%283-i%29%29%2F%282%2B5i%29 ALIGN=MIDDLE  ALT=\"%28%284i+%2B+10i%5E2%29+%2B+%283-i%29%29%2F%282%2B5i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284i+%2B+10%28-1%29%29+%2B+%283-i%29%29%2F%282%2B5i%29 ALIGN=MIDDLE  ALT=\"%28%284i+%2B+10%28-1%29%29+%2B+%283-i%29%29%2F%282%2B5i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284i+-+10+%2B+3+-+i%29%2F%282%2B5i%29 ALIGN=MIDDLE  ALT=\"%284i+-+10+%2B+3+-+i%29%2F%282%2B5i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283i+-+7%29%2F%28+2%2B5i%29 ALIGN=MIDDLE  ALT=\"%283i+-+7%29%2F%28+2%2B5i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply by the conjugate of the denominator over itself:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283i+-+7%29%2F%282%2B5i%29 ALIGN=MIDDLE  ALT=\"%283i+-+7%29%2F%282%2B5i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > *<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282-5i%29%2F%282-5i%29 ALIGN=MIDDLE  ALT=\"%282-5i%29%2F%282-5i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286i+-+15i%5E2-14+%2B+35i%29%2F%284+-+25i%5E2%29 ALIGN=MIDDLE  ALT=\"%286i+-+15i%5E2-14+%2B+35i%29%2F%284+-+25i%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286i+-+15%28-1%29-14+%2B+35i%29%2F%284+-+25%28-1%29%29 ALIGN=MIDDLE  ALT=\"%286i+-+15%28-1%29-14+%2B+35i%29%2F%284+-+25%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286i+%2B+15+-14+%2B+35i%29%2F%284+%2B+25%29 ALIGN=MIDDLE  ALT=\"%286i+%2B+15+-14+%2B+35i%29%2F%284+%2B+25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281+%2B+41i%29%2F29 ALIGN=MIDDLE  ALT=\"%281+%2B+41i%29%2F29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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