If 3+2 i 1+ i = 1 2 ( x + iy ) , then x - y =

Step-by-step solution

aligned & 3+2 i 1+ i = 1 2 ( x + iy ) & x + iy = 2(3+2 i ) 1+ i 1- i 1- i = (6+4 i )(1- i ) 1- i ^2 & = 6+4 i -6 i -4 i ^2 1+1 =5- i & x =5, y =-1 x - y =6 aligned