Respuesta :

mycaglebabies

Answer:

x1 = 1, x2 = 2, x3 = 7

Step-by-step explanation:

(x-2) x (x² -8x + 7) = 0

When the product of factors equals , at least one factor is 0.

x-2=0

x² -8 + 7=0

Solve the equation for X.

x-2=0

x=2

x² -8+7=0

x=7

x=1

The final solutions are

x1 = 1, x2= 2, x3=7

devishri1977

Answer:

  x = 2; x = 1 ; x =7

Step-by-step explanation:

x² – 8x+7 = x² - x - 7x + 7

                =  x ( x - 1 ) - 7(x -1)

                 = (x-1) (x-7)

(x-2)(x² – 8x+7)=0

(x-2)(x - 1) (x - 7)=0

x- 2 = 0     ;   x - 1 = 0 ;       x- 7  = 0

   x = 2; x = 1 ; x =7