Answer:
x = 2, x = 9
Step-by-step explanation:
Given
x² - 11x + 18 = 0
Consider the factors of the constant term (+ 18) which sum to give the coefficient of the x- term (- 11)
The factors are - 9 and - 2 , since
- 9 × - 2 = + 18 and - 9 - 2 = - 11 , thus
(x - 9)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2 ← lesser value
x - 9 = 0 ⇒ x = 9 ← greater value
