Question

Create a list of steps, in order, that will solve the following equation.

3(x+2)^2=48

Answer 1

Answer:

Start with the given equation.

%28x-2%29%5E2=%2848%29%2F%283%29 Divide both sides by 3.

%28x-2%29%5E2=16 Reduce.

x-2=%22%22%2B-sqrt%2816%29 Take the square root of both sides.

x-2=sqrt%2816%29 or x-2=-sqrt%2816%29 Break up the "plus/minus" to form two equations.

x-2=4 or x-2=-4 Take the square root of 16 to get 4.

x=2%2B4 or x=2-4 Add 2 to both sides.

x=6 or x=-2 Combine like terms.

Step-by-step explanation:

Answer 2

Answer: x= -6 or x= 2

Steps: Divide both sides by 3
- Then take square root of both sides
- Separate the equation like this:
x+2= -4
x+2= 4
- Solve for x:
To get -6 subtract -4 and 2
To get 2 subtract 4 and 2
x= -6
x= 2