Question icon
Grade 11Algebra

Complex number quadratic equation. Please sir I would be very grateful to you if you help me out. Thank you very much for your kind attention.

Question image for Complex number quadratic equation. Please sir I w
Profile image of Murshidul
7 Years agoGrade 11
Answers icon

1 Answer

Profile image of Arun
7 Years ago
iz^3 + z^2 – z + i 
= iz^2( z-i) – (z-i)
= (iz^2 – 1)(z –i)
So z – i = 0 => |z| = 1
or iz^2 = 1 => z^2 = i => |z|^2 = |i| = 1 => |z| = 1