El profesor se sorprenderá mucho al ver tu solución correcta😉
a*x^2 + b*x + c = 0
D = b^2 - 4 * a * c =
(-1)^2 - 4 * (1) * (90) = -359
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
_____ 1 I*\/ 359 x1 = - - --------- 2 2
_____ 1 I*\/ 359 x2 = - + --------- 2 2
x2 = 1/2 + sqrt(359)*i/2
suma
_____ _____ 1 I*\/ 359 1 I*\/ 359 - - --------- + - + --------- 2 2 2 2
=
1
producto
/ _____\ / _____\ |1 I*\/ 359 | |1 I*\/ 359 | |- - ---------|*|- + ---------| \2 2 / \2 2 /
=
90
90
x1 = 0.5 + 9.47364766074821*i
x2 = 0.5 - 9.47364766074821*i
x2 = 0.5 - 9.47364766074821*i