Answer:
x = - 2, x = 10
Step-by-step explanation:
Given
x² - 8x - 20 = 0
Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (- 8)
The factors are - 10 and + 2 , since
- 10 × 2 = - 20 and - 10 + 2 = - 8 , then
(x - 10)(x + 2) = 0
Equate each factor to zero and soilve for x
x + 2 = 0 ⇒ x = - 2
x - 10 = 0 ⇒ x = 10
