Question

What are the solutions to the equation 3(x-4)^2=27

Answer 1

Answer:

x=1, x=7

Step-by-step 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