Question

Now that you have x² - 8x + 16 = 9 + 16, apply the square root property to the equation.

Answer 1

`x=9` and
`x=-1`

Explanation:

The given equation is:

`x^2-8x+16=9+16`

Now, using the square root property, we get

`(x-4)^2=25`

`(x-4)^2=(5)^2`

⇒
`x-4={\pm}5`

⇒
`x-4=5` and
`x-4=-5`

⇒
`x=9` and
`x=-1`

Thus, the value of x of the above given equation are
`x=9` and
`x=-1`.