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Question -

If (1+i)2 / (2-i) = x + iy, find x + y



Answer -

Given:

(1+i)2 /(2-i) = x + iy

Upon expansion we get,

Let us equate real andimaginary parts on both sides we get,

x = -2/5 and y = 4/5

so,

x + y = -2/5 + 4/5

= (-2+4)/5

= 2/5

 The value of (x+ y) is 2/5

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