# How do you solve #x-6 = (x-4)^(1/2)# and find any extraneous solutions?

##### 2 Answers

#### Answer:

If

#### Explanation:

Square both sides giving:

#### Answer:

#### Explanation:

Remember than the index of

We cannot find the square root of a negative number, so

To get rid of the square root, you need to square both sides. A common error is to square each of the terms of the left, inside of treating them as a binomial.

'Find factors of 40 which add (because of +40) to give 13.'

The signs will be the same, (because of +40) they are both minus (because of -13).