# How do you solve #sqrt(x^2 + 4) -sqrt(x + 10) = 0#?

##### 1 Answer

#### Answer:

#### Explanation:

Notice that you are dealing with the *difference* of two terms, which can only be equal to zero if the two terms in question are **equal** to each other.

This means that you can write

Your possible solution(s) must satisfy the condition

So, you need

Square both sides of the equation to get rid of the radicals

Move all the terms to one side of the equation and use the *quadratic formula* to determine the two solutions

Since both values satisfy the condition