SOLUTION: Solve for Z: z+i^3=1/1-i^2

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Solve for Z: z+i^3=1/1-i^2      Log On


   

Question 1170560: Solve for Z: z+i^3=1/1-i^2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Solve for Z:
z%2Bi%5E3=1%2F%281-i%5E2%29.......... since i%5E2=-1 and i%5E3=i%5E2%2Ai=-1%2Ai=-i
z-i=1%2F%281-%28-1%29%29
z-i=1%2F%281%2B1%29
z-i=1%2F2
z=1%2F2%2Bi