Question

Solve by factoring and applying the zero product property:
x^2-11x+18=0

Answer 1

x = 2, x = 9

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

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 9 = 0 ⇒ x = 9