Question

Solve
(x−1)^2 =16
. You must explain or show your reasoning for full credit.

Answer 1

Explanation:

To solve the equation (x - 1)^2 = 16, we can start by taking the square root of both sides:

= √(x - 1)^2 = ±√16

= x - 1 = ±4

Now, there are two solutions we get,

x = 1+4 = 5
x = 1 -4 = -3

Therefore, the solution to the equation (x - 1)^2 = 16 is x = 5 or x = -3.

Answer 2

x = - 3 , x = 5

Explanation:

(x - 1)² = 16 ( take square root of both sides )

x - 1 = ±
`√(16)` = ± 4 ( add 1 to both sides )

x = 1 ± 4

then

x = 1 - 4 = - 3

x = 1 + 4 = 5