document.write( "Question 1026767: I am having trouble with this complex number question, finding the reciprocal of this (3-i)/2 \n" ); document.write( "

Algebra.Com's Answer #642071 by macston(5194) $\"\"$ $\"About$

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Reciprocal: reverse numerator and denominator:
\n" ); document.write( "For (3-i)/2, reciprocal is 2/(3-i).
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\n" ); document.write( "To simplify denominator multiply by conjugate.
\n" ); document.write( "Conjugate of (3-i)=(3+i)
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\n" ); document.write( "Reciprocal= $\"%282%2F%283-i%29%29%2A%28%283%2Bi%29%2F%283%2Bi%29%29=%286%2B2i%29%2F%289-%28-1%29%29\"$
\n" ); document.write( "Reciprocal= $\"%286%2B2i%29%2F10=6%2F10%2B%282i%29%2F10\"$ = $\"%283%2F5%29%2B%28i%2F5%29\"$
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