Answer:
x = - 1, x = 7
Explanation:
Given
x² - 6x - 7 = 0
Consider the factors of the constant term (- 7) which sum to give the coefficient of the x- term (- 6)
The factors are - 7 and + 1, since
- 7 × 1 = - 7 and - 7 + 1 = - 6, thus
(x - 7)(x + 1) = 0
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 1 = 0 ⇒ x = - 1