Answer:
x = 2 or
x = 9
Step-by-step explanation:
x² - 11x + 18 = 0
x² - 9x - 2x + 18 = 0
x(x - 9) - 2(x - 9) = 0
(x - 2)(x - 9) = 0
x - 2 = 0 or x - 9 = 0
x = 2 or x = 9
Thus, x = 2 or 9
-TheUnknownScientist
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 - 2 and - 9 , since
- 2 × - 9 = + 18 and - 2 - 9 = - 11 , thus
(x - 2)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 9 = 0 ⇒ x = 9
