# How do you solve #x = sqrt(-3x + 10) # and find any extraneous solutions?

##### 1 Answer

#### Answer:

Extraneous

For

#### Explanation:

Square both sides

Notice that

Thus the factorization is

So

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

For the number to remain in the

So

Multiply by (-1) giving

Notice that the inequality sign has turned the other way. This happens when you multiply by (-1)

Add 10 to both sides