Решите: ( x - 1 ) ( x² + 4 x + 4 ) = 4 ( x + 2 )

Question

Решите:
( x - 1 ) ( x² + 4 x + 4 ) = 4 ( x + 2 )

Answer 1

( x - 1 )*( X² + 4x + 4 ) = 4 * ( x + 2 ) 
( x - 1 )*( x + 2 )*( x + 2 ) = 4 * ( x + 2 ) 
( x - 1 )*( x + 2 ) = 4 
x² + 2x - x - 2 - 4 = 0 
x² + x - 6 = 0 
D = 1 + 24 = 25 ; √ D = 5 
X1 = ( - 1 + 5 ) : 2 = 2 
X2 = ( - 1 - 5 ) : 2 = - 3 
ответ - 2 ; 2 ; - 3