# How do you solve #x = 3 +sqrt(x^2 - 9)#?

##### 1 Answer

#### Answer:

Isolate the radical; square; use normal solution techniques; then check for extraneous results.

Giving:

#### Explanation:

Given:

Isolate radical by subtracting 3 from both sides:

Square both sides

Factor (both sides)

Note potential solution

Divide both sides by

So the only possible solution we have found is

Checking to ensure that this is not an extraneous root introduced by squaring; replace