Question

Solve for x. Enter the solutions from least to greatest.

(x+7)^2 −49=0


Help plz

Answer 1

x=0

Explanation:

We can first add 49 to both sides to get (x+7)^2=49

We can then take the square root of both sides and get x+7=7

Subtract 7 to both sides and you get x=0

Answer 2

`x=-14\text{ and } x=0`

Explanation:

We are given:

`(x+7)^2-49=0`

And we want to solve for x.

First, we can add 49 to both sides:

`(x+7)^2=49`

Now, we can take the square root of both sides. Since we are taking an even root, we will need plus-minus. Hence:

`x+7=\pm√(49)`

Evaluate:

`x+7=\pm7`

Subtract 7 from both sides:

`x=-7\pm7`

So, we have two solutions:

`x=-7+7\text{ and } x=-7-7`

Evaluate:

`x=0\text{ and } x=-14`

So, from least to greatest, our solutions are:

`x=-14\text{ and } x=0`