El profesor se sorprenderá mucho al ver tu solución correcta😉
a*w^2 + b*w + c = 0
D = b^2 - 4 * a * c =
(0)^2 - 4 * (1) * (1) = -4
w1 = (-b + sqrt(D)) / (2*a)
w2 = (-b - sqrt(D)) / (2*a)
suma
pi / ___\ pi / ___\ 3*pi / ___\ 3*pi / ___\ -- - I*log\1 + \/ 2 / + -- + I*log\1 + \/ 2 / + ---- - I*log\1 + \/ 2 / + ---- + I*log\1 + \/ 2 / 2 2 2 2
=
4*pi
producto
/pi / ___\\ /pi / ___\\ /3*pi / ___\\ /3*pi / ___\\ |-- - I*log\1 + \/ 2 /|*|-- + I*log\1 + \/ 2 /|*|---- - I*log\1 + \/ 2 /|*|---- + I*log\1 + \/ 2 /| \2 / \2 / \ 2 / \ 2 /
=
4 2 2/ ___\ 4/ ___\ 9*pi 5*pi *log \1 + \/ 2 / log \1 + \/ 2 / + ----- + --------------------- 16 2
log(1 + sqrt(2))^4 + 9*pi^4/16 + 5*pi^2*log(1 + sqrt(2))^2/2
pi / ___\ x1 = -- - I*log\1 + \/ 2 / 2
pi / ___\ x2 = -- + I*log\1 + \/ 2 / 2
3*pi / ___\ x3 = ---- - I*log\1 + \/ 2 / 2
3*pi / ___\ x4 = ---- + I*log\1 + \/ 2 / 2
x4 = 3*pi/2 + i*log(1 + sqrt(2))
x1 = 1.5707963267949 - 0.881373587019543*i
x2 = 1.5707963267949 + 0.881373587019543*i
x3 = 4.71238898038469 - 0.881373587019543*i
x4 = 4.71238898038469 + 0.881373587019543*i
x4 = 4.71238898038469 + 0.881373587019543*i