El profesor se sorprenderá mucho al ver tu solución correcta😉
a*z^2 + b*z + c = 0
D = b^2 - 4 * a * c =
(0)^2 - 4 * (1) * (-i) = 4*i
z1 = (-b + sqrt(D)) / (2*a)
z2 = (-b - sqrt(D)) / (2*a)
suma
___ ___ ___ ___ \/ 2 I*\/ 2 \/ 2 I*\/ 2 - ----- - ------- + ----- + ------- 2 2 2 2
=
0
producto
/ ___ ___\ / ___ ___\ | \/ 2 I*\/ 2 | |\/ 2 I*\/ 2 | |- ----- - -------|*|----- + -------| \ 2 2 / \ 2 2 /
=
-I
-i
___ ___ \/ 2 I*\/ 2 z1 = - ----- - ------- 2 2
___ ___ \/ 2 I*\/ 2 z2 = ----- + ------- 2 2
z2 = sqrt(2)/2 + sqrt(2)*i/2
z1 = 0.707106781186548 + 0.707106781186548*i
z2 = -0.707106781186548 - 0.707106781186548*i
z2 = -0.707106781186548 - 0.707106781186548*i