Question

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

Answer 1

x² - 8x + 16 = 9 + 16
(x-4)²=5²
x₁-4=5⇒x₁=9
x₂-4= -5⇒x₂= -1

Answer 2

Answer:

$x=9$ and $x=-1$

Step-by-step 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 $x=-1$.