Odpowiedź :
x^3 - x^2 + x -1 = 0
(x - 1)(x^2 - 1) = 0
(x-1)^2(x+1) = 0
x = 1 lub x = -1
(x - 1)(x^2 - 1) = 0
(x-1)^2(x+1) = 0
x = 1 lub x = -1
x+x³=1+x²
x³ - x² + x - 1 = 0
x³ + x - x² - 1 = 0
x(x² + 1) - (x² + 1) = 0
(x² + 1)(x - 1) = 0
x² + 1 = 0 ∨ x - 1 = 0
x² = -1 [sprzeczne dla liczb rzeczywistych]∨ x = 1
x = 1
x³ - x² + x - 1 = 0
x³ + x - x² - 1 = 0
x(x² + 1) - (x² + 1) = 0
(x² + 1)(x - 1) = 0
x² + 1 = 0 ∨ x - 1 = 0
x² = -1 [sprzeczne dla liczb rzeczywistych]∨ x = 1
x = 1