document.write( "Question 1177959: find the ff.quantities
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Algebra.Com's Answer #807268 by ikleyn(52863)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "We are given a complex number  z;  Let  \"z%5Bc%5D\" be the complex conjugate to  z  complex number. \r\n" );
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document.write( "Then  |z-1|^2 = \"%28z-1%29%2A%28z%5Bc%5D-1%29\" = \"z%2Az%5Bc%5D\" - \"%28z%2Bz%5Bc%5D%29\" + 1 = |z|^2 - 2*Re(z) + 1.    ANSWER\r\n" );
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document.write( "Here  Re(z)  is the real part of the complex number z.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On complex numbers, see introductory lessons\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
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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( "    - Solved problem on taking square root of complex number\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 under the topic \"Complex numbers\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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