Answer:
Step-by-step explanation:
{z+1}/{z-1} = i.
z+1 = i (z-1)
z+1 =iz -i
z - iz = -1 -i
z ( 1 -i) = - 1 -i
z = (- 1 - i ) /(1-i) = - (1+i)/(1-i)
z = - (1+i)(1+i)/(1-i)(1+i)
z = - (1+2i +i²)/ ( 1²-i²).........i² = -1
z =-2i/2
z = - i (one solution)