How do you solve #sqrt(x-4) – sqrt(x+8)=2#?
Square both sides of the equation, and isolate one radical to one side of the equation (see solution below).
Square both sides again to get rid of the remaining square root.
16 = x + 8
8 = x
Check in the original equation to make sure the solution is not an extraneous root.
So, this equation has no solution (
- Solve for x. Watch out for extraneous solutions.