Question

How do you solve:

f(x) = x^2 - 6x + 8

I need to understand how to solve this so please show work, thank you!

Answer 1

x = 2, x = 4

Explanation:

Begin by letting f(x) = 0 , that is

x² - 6x + 8 = 0

Consider the factors of the constant term (+ 8) which sum to give the coefficient of the x- term (- 6)

The factors are - 2 and - 4 , since

- 2 × - 4 = + 8 and - 2 - 4 = - 6 , then

(x - 2)(x - 4) = 0

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 4 = 0 ⇒ x = 4

Answer 2

Hopes this SS Helps you

Explanation:

XOXO

KIT