Let z1 and z2 be roots of the equation z2+pz+q=0, where p and q may be complex numbers. Let A and B represents z1 and z2 in the complex plane. Given ∠ AOB=α≠0 and OA=OB where O is the origin. Using the given information what will be the value of p2?

Let z1 and z2 be roots of the equation z2+pz+q=0, where p and q may be

1.	Let z1 and z2 be roots of the equation z2+pz+q=0, where p and q may be complex numbers. Let A and B represents z1 and z2 in the complex plane. Given ∠ AOB=α≠0 and OA=OB where O is the origin. Using the given information what will be the value of p2?
Answer» Let $z_{1}$ and $z_{2}$ be roots of the equation $z^{2} + p z + q = 0,$ where p and q may be complex numbers. Let A and B represents $z_{1}$ and $z_{2}$ in the complex plane. Given $∠ A O B = α \neq 0$ and $O A = O B$ where O is the origin. Using the given information what will be the value of $p^{2} ?$