Respuesta :
Answer:
x = - 1, x = 11
Step-by-step explanation:
Given
x² - 10x - 11 = 0
Consider the factors of the constant term (- 11) which sum to give the coefficient of the x- term (- 10)
The factors are - 11 and + 1, since
- 11 × 1 = - 11 and - 11 + 1 = - 10, thus
(x - 11)(x + 1) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 11
x + 1 = 0 ⇒ x = - 1
Answer: x^{2} - 10x - 11 = 0
x^{2} - 10x = 11
x = -1
; -1^{2} - 10(-1) = 11
1 + 10 = 11
