Respuesta :
Answer:
(x−2)(x−4)
Step-by-step explanation:
Let's factor x2−6x+8
x2−6x+8
The middle number is -6 and the last number is 8.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -6
Multiply together to get 8
Can you think of the two numbers?
Try -2 and -4:
-2+-4 = -6
-2*-4 = 8
Fill in the blanks in
(x+_)(x+_)
with -2 and -4 to get...
(x-2)(x-4)
Hope this helps! Also, if it's no trouble, can I have brainliest? Thanks! :D
Answer:
x = 2 , x = 4
Step-by-step explanation:
To solve the expression equate it to zero
x² - 6x + 8 = 0 ( subtract 8 from both sides )
x² - 6x = - 8
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 3)x + 9 = - 8 + 9
(x - 3)² = 1 ( take square root of both sides )
x - 3 = ± [tex]\sqrt{1}[/tex] = ± 1 ( add 3 to both sides )
x = 3 ± 1
Then
x = 3 - 1 = 2 or x = 3 + 1 = 4