Let z1 and z2 be two roots of the equation z² + az + b = 0, z being complex. Further assume that the origin, z1 and z1 form an equilateral triangle. Then
A. a² = b
B. a² = 2b
C. a² = 3b
D. a² = 3b
Answer:A
Let z1 and z2 be two roots of the equation z² + az + b = 0, z being complex. Further assume that the origin, z1 and z1 form an equilateral triangle. Then
A. a² = b B. a² = 2b C. a² = 3b D. a² = 3b