Question

daca x1,x2,x3 sunt sol complexe ale ec x^3-6x^2+9X-3=0 atunci[1-x1][1-x2][1-x3]este

Answer 1

f(x) = x^3-6x^2+9X-3=0

f(x) = (x-x1)(x-x2)(x-x3)

f(1) = (1-x1)(1-x2)(1-x3)

1-6+9-3 = (1-x1)(1-x2)(1-x3)

=>  (1-x1)(1-x2)(1-x3) = 1