Find the solution(s) for x in the equation below. x^2 - 9x + 20 = 0

x = 4, x = 5

Step-by-step explanation:

Given

x² - 9x + 20 = 0

Consider the factors of the constant term (+ 20) which sum to give the coefficient of the x- term (- 9)

The factors are - 4 and - 5, since

- 4 × - 5 = + 20 and - 4 - 5 = - 9, thus

(x - 4)(x - 5) = 0

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 5 = 0 ⇒ x = 5