document.write( "Question 925788: How does (i+1)/(i-1) = -i \n" ); document.write( "
Algebra.Com's Answer #561763 by Alan3354(69443)\"\" \"About 
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How does (i+1)/(i-1) = -I
\n" ); document.write( "Multiply the NUM and DEN of the fraction by the conjugate of the DEN i+1
\n" ); document.write( "---
\n" ); document.write( "(i+1)*(i+1)/((i-1)*(i+1)
\n" ); document.write( "= (i^2 + 2i + 1)/(i^2 - 1)
\n" ); document.write( "= (-1 + 2i + 1)/(-1 -1)
\n" ); document.write( "= 2i/(-2)
\n" ); document.write( "= -i
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