Write x^(2) -12x+19 in the form (x+a)^(2) +b

Question

`Write x^(2) -12x+19 in the form (x+a)^(2) +b`

Answer 1

(x - 6)² - 17

Explanation:

Given

x² - 12x + 19

Using the method of completing the square

add/ subtract ( half the coefficient of the x- term )² to x² - 12x

= x² + 2(- 6)x + 36 - 36 + 19

= (x - 6)² - 17