Question

find x & y if (x+1/1+i)+(y-1/1-i)=i​

Answer 1

Answer:

((x+1)/(1+i))+((y-1)/(1-i))=i

take L.C.M

((x+1)(1-i)+(y-1)(1+i))/((1+i)(1-i))=i

after simplification you get

(x+y)+i(y-x-2)=2i

on comparing real&complex terms on both sides

x+y=0

y-x-2=2

on solving above two equations

y=2

x=-2