document.write( "Question 1095684: solve the following equation for real numbers x and y.
\n" ); document.write( "((1+i)/(1-i))^2+1/(x+iy)=1+i.
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Algebra.Com's Answer #710206 by Alan3354(69443) $\"\"$ $\"About$

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solve the following equation for real numbers x and y.
\n" ); document.write( " $\"%28%281%2Bi%29%2F%281-i%29%29%5E2+%2B+1%2F%28x%2Biy%29+=+1%2Bi\"$
\n" ); document.write( "----------------
\n" ); document.write( " $\"%28%281%2Bi%29%2F%281-i%29%29%5E2+=+%281%2Bi%29%5E2%2F%281-i%29%5E2+=+%282i%2F-2i%29+=+-1\"$
\n" ); document.write( "--> $\"-1+%2B+1%2F%28x%2Biy%29+=+1%2Bi\"$
\n" ); document.write( " $\"1%2F%28x%2Biy%29+=+2%2Bi\"$
\n" ); document.write( "Invert
\n" ); document.write( " $\"x%2Biy+=+1%2F%282%2Bi%29+=+%282-i%29%2F5\"$
\n" ); document.write( "x = 2/5, y = -1/5 \n" ); document.write( "

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