Answer:
2
Step-by-step explanation:
Given
x² - 8x + 16 = 0
Consider the factors of the constant term (+ 16) which sum to give the coefficient of the x- term (- 8)
The factors are - 4 and - 4, since
- 4 × - 4 = + 16 and - 4 - 4 = - 8, thus
(x - 4)(x - 4) = 0
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 4 = 0 ⇒ x = 4
The solution is x = 4 with multiplicity 2