Algebra Question... Show Work Please... 10 Points

if X(is greater then or equal to) -1, 4+√(5x+5)=9 then x=?

Thank you so much!!

First part is just the interval

4+√(5x+5)=9
√(5x+5)=5 (subtract 4)
5x+5=25 (square both sides)
5x=20 (subtract 5)
x=4 (divide by 5)

so you got 4 + (5x+5) ^(1/2) = 9

you want to get rid of the 4 on the left side, which you can do by subtracting 4 on each side to get

(5x+5) ^(1/2) = 5

Now you want to get rid of the square root. Since squaring a square root gets rid of a square root, you can just square both sides and get

((5x+ 5) ^ (1/2) ) ^2 = 5^2

which is the same as

5x + 5 = 25

now you can just simplify as you'd normally do,

5x = 20

x = 4

set your second equation equal x by following these steps.

4 = 9 - √(5x + 5)
-5 = -√(5x + 5)
5 = √(5x + 5)
25 = 5x + 5
20 = 5x
4 = x

there is your answer.

4+√(5x+5)=9
√(5x+5)=5
5x+5=25
5x=20
x=4

(not sure why the question had to say x >= -1)

√(5x + 5) = 5
5x + 5 = 25
5x = 20
x = 4