# How do you solve #sqrt(2x+2) - sqrt(x+2) = 1#?

##### 1 Answer

Nov 2, 2015

#### Answer:

X = 7

#### Explanation:

Start off by shifting;

Square both sides;

Simplify as much as possible;

Square once again;

Simplify;

Factor;

So

But now we can be hasty in saying it has 2 solutions;

# Make sute both solutions are real

Lets check for 7

Lets check for -1

#therefore# -1 is not a solution

**We end up with x = 7**