Answer:
x1 = 1, x2 = 2, x3 = 7
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
x² -8+7=0
x=7
x=1
The final solutions are
x1 = 1, x2= 2, x3=7
x = 2; x = 1 ; x =7
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
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