Решите: x^3 - 3x^2 + 2 =0

Question

Решите: x^3 - 3x^2 + 2 =0

Answer 1

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

x-1=0
x^2-2x-2=0

x1=1-√3
x2=1
x3=1+√3

Answer 2

x^3 - 3x^2 + 2 =0
x^3 - x^2 -2x^2+ 2 =0
x^2(x-1)-2x^2+2x-2x+2=0
x^2(x-1)-2x(x-1)-2(x-1)=0
(x-1)(x^2-2x-2)=0
x-1=0 или x^2-2x-2=0
x=1 или x=1+√3 или x=1-√3