Решите уравнение: X^3+3x^2+3x+1=0

Question

Решите уравнение:
X^3+3x^2+3x+1=0

Answer 1

X³+3x²+3x+1=0
(х³+1)+(3х²+3х)=0
(х+1)(х²-х+1)+3х(х+1)=0
(х+1)(х²-х+1+3х)=0
(х+1)(х²+2х+1)=0
(х+1)(х+1)²=0
(х+1)³=0
х+1=0
х=-1