Решите уравнение (x+1)(x2-x+1)+(x-1)(x+1)=0

Question

Решите уравнение (x+1)(x2-x+1)+(x-1)(x+1)=0

Answer 1

( x + 1)(x^2 - x + 1) + ( x - 1)(x + 1) = 0
x^3 + 1 + x^2 - 1 = 0
x^3 + x^2 = 0
x^2( x + 1) = 0
x^2 = 0
x = 0
x + 1 =0
x = - 1
Ответ: x1 = 0, x2 = - 1.