How do you solve using the completing the square method x^2 - 12x + 36 = 25 ?

1 Answer
Mar 4, 2016

The solutions are:
color(blue)(x=11

color(blue)(x=1

Explanation:

x^2 -12x +36=25

Using the Identity color(blue)((a-b)^2 = a^2 - 2ab + b^2, we get
(x-6)^2 = 25

(x-6) =+-sqrt 25

  1. (x-6) =+5
    x= 5 +6
    color(blue)(x=11

  2. (x-6) =-5
    x=-5+6
    color(blue)(x=1