X^2-12x+12=0 completing the square

x1 = 6 + 2√6 or x2 = 6 - 2√6

Step-by-step explanation:

x² - 12x + 12 = 0

We need to use formula:

a² - 2ab + b² = (a - b) ².

x² - 12x = - 12

x² - 2*6x + 6² - 6² = - 12

(x - 6) ² - 36 = - 12

(x - 6) ² = - 12 + 36

(x - 6) ² = 24

(x - 6) = √24 or (x-6) = - √24

(x - 6) = 2√6 or (x-6) = - 2√6

x = 6 + 2√6 or x = 6 - 2√6