Question

Solve for x. Enter the solutions from least to greatest.(x+7)^2 −49=0Help plz

Answer 1

Answer:

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

Step-by-step 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:

$x+7=\pm\sqrt{49}$

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:

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

Answer 2

Answer:

x=0

Step-by-step 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