document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29449>Question 29449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the real numbers a and b such that:<BR>\n" );
document.write( "((5i)/(2+3i)^2)=a+bi\r<BR>\n" );
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document.write( "Find the real numbers a and b such that:<BR>\n" );
document.write( "((1+i)/i)-((3)/(4-i))=a+bi </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16254 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=16254\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I shall do the first. You do the second.\r<BR>\n" );
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document.write( "We need to convert <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%285i%29%2F%282%2B3i%29%5E2%29+ ALIGN=MIDDLE  ALT=\"+%28%285i%29%2F%282%2B3i%29%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > into the form a+bi\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285i%29%2F%282%2B3i%29%5E2+ ALIGN=MIDDLE  ALT=\"+%285i%29%2F%282%2B3i%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285i%29%2F%28%282%2B3i%29%282%2B3i%29%29+ ALIGN=MIDDLE  ALT=\"+%285i%29%2F%28%282%2B3i%29%282%2B3i%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285i%29%2F%284%2B12i%2B9i%5E2%29+ ALIGN=MIDDLE  ALT=\"+%285i%29%2F%284%2B12i%2B9i%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285i%29%2F%284%2B12i-9%29+ ALIGN=MIDDLE  ALT=\"+%285i%29%2F%284%2B12i-9%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285i%29%2F%2812i-5%29+ ALIGN=MIDDLE  ALT=\"+%285i%29%2F%2812i-5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285i%29%2F%28-5%2B12i%29+ ALIGN=MIDDLE  ALT=\"+%285i%29%2F%28-5%2B12i%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%285i%29%2F%28-5%2B12i%29%29%2A%28%28-5-12i%29%2F%28-5-12i%29%29+ ALIGN=MIDDLE  ALT=\"+%28%285i%29%2F%28-5%2B12i%29%29%2A%28%28-5-12i%29%2F%28-5-12i%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > where the sexond bracket is \"1\"... using the conjugate of (-5+12i)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%285i%29%28-5-12i%29%29%2F%28%28-5%2B12i%29%28-5-12i%29%29+ ALIGN=MIDDLE  ALT=\"+%28%285i%29%28-5-12i%29%29%2F%28%28-5%2B12i%29%28-5-12i%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-25i-60i%5E2%29%2F%2825%2B60i-60i-144i%5E2%29+ ALIGN=MIDDLE  ALT=\"+%28-25i-60i%5E2%29%2F%2825%2B60i-60i-144i%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-25i%2B60%29%2F%2825%2B144%29+ ALIGN=MIDDLE  ALT=\"+%28-25i%2B60%29%2F%2825%2B144%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2860-25i%29%2F169+ ALIGN=MIDDLE  ALT=\"+%2860-25i%29%2F169+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2860%2F169%29-%2825%2F169%29i%29+ ALIGN=MIDDLE  ALT=\"+%2860%2F169%29-%2825%2F169%29i%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2860%2F169%29%2B%28-25%2F169%29i%29+ ALIGN=MIDDLE  ALT=\"+%2860%2F169%29%2B%28-25%2F169%29i%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so a=60/169<BR>\n" );
document.write( "and b = -25/169\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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