document.write( "Question 1055627: find Re(z1z2/z1) and Im(1/z1z2) if z1=2-i,z2=-2+i \n" ); document.write( "
Algebra.Com's Answer #670853 by ikleyn(52775)\"\" \"About 
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\n" ); document.write( "find Re(z1z2/z1) and Im(1/z1z2) if z1=2-i,z2=-2+i
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document.write( "1.  \"%28z1%2Az2%29%2Fz1\" = z2 = -2 + i.\r\n" );
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document.write( "    Therefore, Re\"%28%28z1%2Az2%29%2Fz1%29\" = Re(z2) = -2.\r\n" );
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document.write( "2.  \"1%2F%28z1%2Az2%29\" = \"1%2F%28%282-i%29%2A%28-2%2Bi%29%29\" = \"1%2F%28-4+%2B1+%2B+2i%29\" = \"1%2F%28-3%2B2i%29\" = \"%28-3-2i%29%2F%28%28-3%2B2i%29%2A%28-3-2i%29%29\" = \"%28-3-2i%29%2F%289%2B4%29\" = \"%28-3-2i%29%2F13\" = \"-3%2F13+-i%2A%282%2F13%29\".\r\n" );
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document.write( "    Therefore,  Im\"%281%2F%28z1%2Az2%29%29\" = \"-2%2F13\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "There is a bunch of my lessons on complex numbers\r
\n" ); document.write( "\n" ); document.write( "    - Complex numbers and arithmetical operations on them\r
\n" ); document.write( "\n" ); document.write( "    - Complex plane\r
\n" ); document.write( "\n" ); document.write( "    - Addition and subtraction of complex numbers in complex plane\r
\n" ); document.write( "\n" ); document.write( "    - Multiplication and division of complex numbers in complex plane\r
\n" ); document.write( "\n" ); document.write( "    - Raising a complex number to an integer power\r
\n" ); document.write( "\n" ); document.write( "    - How to take a root of a complex number\r
\n" ); document.write( "\n" ); document.write( "    - How to take a square root of a complex number\r
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\n" ); document.write( "\n" ); document.write( "    - Solved problems on taking roots of complex numbers\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on arithmetic operations on complex numbers\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook.\r
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