Question

If i$z^3$ + $z^2$ - z + i = 0, where i = $\sqrt{-1}$ then |z| is equal to :

• A. 1
• B. 1/2
• C. 1/4
• D. None

Answer 1

The correct option is A

1

i$z^2$(z - i) - (z - i) = 0 then (z - i)(i$z^2$ - 1) = 0 $\Rightarrow$ |z| = 1