soit-E-l-equation-complex-z-2-2pz-q-0-p-q-C-let-u-C-u-2-q-show-that-if-z-1-z-2-are-solutions-of-E-z-1-z-2-p-u-p-u-

Question Number 134461 by pticantor last updated on 04/Mar/21

s o i t (E) l^{'} e q u a t i o n c o m p l e x :

z^{2} - 2 p z - q = 0

p, q \in C

l e t u \in C ∖ u^{2} = q

s h o w t h a t i f z_{1}, z_{2} a r e s o l u t i o n s o f (E),

∣ z_{1} ∣ + ∣ z_{2} ∣=∣ p + u ∣ + ∣ p - u ∣