# How do you simplify #x + sqrt(x + 5) = 7#?

##### 2 Answers

#### Answer:

Note that

#### Explanation:

To simplify

Hence, squaring the two sides, we get

and transposing all terms to one side

and then splitting middle term in

i.e

Note that

#### Answer:

You must isolate the radical on one side and then square both sides to get rid of the radical.

#### Explanation:

Factor to solve. To factor a trinomial of the form

We must always check our solutions in the original equation, since solutions known as **extraneous solutions**. These are solutions that occur when squaring the equation and that don't work inside the original equation. We you find a solution that doesn't work, you must always **reject** it. Checking our solutions from the previous equation I've found that

**Practice exercises:**

- Solve for x.

a).

b).

c).

Good luck!