Question

Resolver, em R, a equação x^3 – 3x^2 – x + 3 = 0.

Answer 1

Oi Vdekmir

x^3 - 3x^2 - x + 3 = 0

soma

x1 + x2 + x3  = 3

x1 + x2 = 0

x3 = 3

(x^3 - 3x^2 - x + 3)/(x - 3) = (x - 1)*(x + 1)  

x2 - 1 = 0

x2 = 1

x3 + 1 = 0

x3 = -1

S = (-1, 1, 3)

Answer 2

x^3 – 3x^2 – x + 3 = 0

x²(x -3) - 1(x-3) = 0

(x²-1). (x-3) = 0

(x+1).(x-1). (x-3) = 0

x'=-1, x"=1, x'''=3 <======©