How do you solve #sqrt(x-4) – sqrt(x+8)=2#?
1 Answer
Feb 8, 2016
Square both sides of the equation, and isolate one radical to one side of the equation (see solution below).
Explanation:
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 (
Practice exercises:
- Solve for x. Watch out for extraneous solutions.
a)
b)
Good luck!