El profesor se sorprenderá mucho al ver tu solución correcta😉
a*x^2 + b*x + c = 0
D = b^2 - 4 * a * c =
(-11)^2 - 4 * (-1) * (-36) = -23
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
____ 11 I*\/ 23 x1 = - -- - -------- 2 2
____ 11 I*\/ 23 x2 = - -- + -------- 2 2
x2 = -11/2 + sqrt(23)*i/2
suma
____ ____ 11 I*\/ 23 11 I*\/ 23 - -- - -------- + - -- + -------- 2 2 2 2
=
-11
producto
/ ____\ / ____\ | 11 I*\/ 23 | | 11 I*\/ 23 | |- -- - --------|*|- -- + --------| \ 2 2 / \ 2 2 /
=
36
36
x1 = -5.5 - 2.39791576165636*i
x2 = -5.5 + 2.39791576165636*i
x2 = -5.5 + 2.39791576165636*i