Respuesta :

Answer:  x = -1

x =(5-√17)/2= 0.438

x =(5+√17)/2= 4.562

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (((x3) -  22x2) -  3x) +  2  = 0

Step  2  :

Checking for a perfect cube :

2.1    x3-4x2-3x+2  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3-4x2-3x+2

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -3x+2

Group 2:  x3-4x2

Pull out from each group separately :

Group 1:   (-3x+2) • (1) = (3x-2) • (-1)

Group 2:   (x-4) • (x2)