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 #642084 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "I am having trouble with this complex number question, finding the reciprocal of this (3-i)/2
\n" ); document.write( "
Now that's better. This is much, much clearer now!
\n" ); document.write( "\"%283+-+i%29%2F2\"
\n" ); document.write( "\"2%2F%283+-+i%29\" ------- Reciprocal
\n" ); document.write( "\"%282%283+%2B+i%29%29%2F%28%283+-+i%29%283+%2B+i%29%29\" ---- Rationailizing denominator by multiplying fraction by the conjugate of the denominator
\n" ); document.write( "\"2%283+%2B+i%29%2F%289+%2B+3i+-+3i+-+i%5E2%29\"
\n" ); document.write( "\"2%283+%2B+i%29%2F%289+-+i%5E2%29\"
\n" ); document.write( "\"2%283+%2B+i%29%2F%289+-+-+1%29\" ------ Replacing \"i%5E2\" with - 1
\n" ); document.write( "\"2%283+%2B+i%29%2F10\"
\n" ); document.write( "\"2%283+%2B+i%29%2F2%285%29\"
\n" ); document.write( "\"cross%282%29%283+%2B+i%29%2Fcross%282%29%285%29\" ------> \"%283+%2B+i%29%2F5\" ------> \"highlight_green%28matrix%281%2C3%2C+3%2F5%2C+%22%2B%22%2C+%281%2F5%29i%29%29\" \n" ); document.write( "
\n" );