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

##### 1 Answer

Jun 17, 2018

#### Explanation:

Rearrange to get the square root on one side on its own:

Square it out to get a quadratic:

Quadratic formula:

But when we square in our working we need to check that we haven't accidentally introduced extra roots. In this case we have: -1 is not a solution of the original equation, although 2 is.

So there is one solution: