Question

04 Verifique quais dos numeros complexos 1,3,0 são raízes de p(×)=×\3_5×\2+11×_15.

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Answer 1

x^3 - 5x^2  + 11x -15 = 0

raiz real x1 = 3

(x^3 - 5x^2  + 11x -15)/(x - 3)  = x^2 - 2x + 5

delta

d^2 = 4 - 20 = -16

d = 4i

as raizes complexas:

x2 = (2 + 4i)/2 = 1 + 2i

x3 = (2 - 4u)(2 = 1 - 2i