Question

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

Answer 1

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`