Question

X^3-2x+1=0 решить уравнение

Answer 1

X^3 - x - x + 1 = 0 
x (x^2 - 1) - 1(x - 1) = 0 
x(x - 1)(x + 1) -  1(x - 1) = 0 
(x - 1)(x (x + 1) -  1) = 0 
(x - 1)(x^2 + x - 1) = 0

1) x -  1 = 0 
x = 1 

2) x^2 + x - 1 = 0 
D = 1 + 4 = 5 
x1 = ( - 1 + √5)/2;
x2 = ( - 1 - √5)/2;

Ответ
1; ( - 1 - √5)/2;  ( - 1 + √5)/2;