​ If z = x + iy is a complex number satisfies z =iz^2+z-i then sum of square of all values of z satisfies given equation is

Question

If z = x + iy is a complex number satisfies\(\bar Z\)=iz²+z-i then sum of square of all values of z satisfies given equation is

(1) 1

(2) 2

(3) 3

(4) 4

Answer 1

Correct option is (1) 1

sum of square is = (i)² + (1)² + (-1)² = 1