# How do you solve #sqrt(x+2) = x-4#?

##### 1 Answer

May 10, 2016

#### Explanation:

First square both sides of the equation, noting that this may introduce spurious solutions:

#x+2 = (x-4)^2 = x^2-8x+16#

Subtract

#0 = x^2-9x+14 = (x-2)(x-7)#

So

If

If

So