Find all complex numbers z satisfying the equation {z+1}/{z-1} = i.
9 points and brainiest: 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)

17

step-by-step explanation:

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step-by-step explanation:

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