Question

How do you solve `x^2 - 4x + 4 = 100` by completing the square?

Answer 1

Since `x^2-4x+4` is already a square there isn't really any "completing" to be done.

`x^2-4x+4 =100`

`(x-2)^2 = 100`

`x-2=+-10`

`x=12` or `x=-8`