Respuesta :
Answer:
(x - 4)² - 11
Step-by-step explanation:
Given
x² - 8x + 5
To obtain the required form use the method of completing the square.
add/subtract ( half the coefficient of the x- term)² to x² - 8x
= x² + 2(- 4)x + 16 - 16 + 5
= (x - 4)² - 11
Answer:
[tex](x-4)^{2}-11[/tex]
Step-by-step explanation:
x² - 8x + 5 = x² - 8x + (16 - 16) + 5 {we just added 16 and subtractEd it }
= (x - 4)² - 16 + 5 {Reason : x² - 8x + 16 = (x - 4)² }
= (x - 4)² - 11
