Answer:
x=1, x=7
Explanation:
Firstly, you can simplify by dividing both sides by 3, which will make the equation easier to simplify:
(x-4)^2=9
Next, you can take the square root of each side, which will cancel the square, and make the 9 even easier to work with:
(x-4)=(± )3
*Note the (± ) sign, this is because there is a positive and negative answer*
After this, you will basically have two equations:
(x-4)=3
and
(x-4)=-3
You are going to solve both to get both answers, but lets start with the positive first:
x-4=3 Add 4 to both sides to get an x= equation
x=7
And it's the same thing for the negative:
x-4=-3 Add 4 to both sides to get an x= equation
x=1
Hope this helps