I am not too sure on how to actually solve this radical equation been stuck on it for a while the equation is:
\sqrt{2x+6} - \sqrt{x+4} =1
any help would be awesome
thanks in advance
I would first rewrite it as .
Squaring both sides, foiling and simplifying yields: (Verify)
Now, get everything but the radical on the other side of the equation: .
Square both sides again to get (Verify)
Now solve this quadratic equation for x to get two possible answers. Then test for possible extraneous solutions by plugging them into the original equation.
I hope this helps!