# How do you solve the equation and identify any extraneous solutions for # sqrt(x^2+5)=3-x#?

##### 1 Answer

Jun 11, 2015

#### Answer:

We can square both sides of the equation. But we have to remember that the outcome of a radical is allways

#### Explanation:

This means that

Now for the squaring (which annulls the root at the left):

And this fits with the condition that

(it also checks if you put the number back into the equation)