I have a problem that says
√x+8) - √x-4) = 2
I don't know how to continue with this problem...
Thank you in advance.
If, as I suspect, the correct expression is A then you will need to square both sides
I'll leave you to finish that off
edit: this equation has only one solution and it is in the domain of the original equation so there can be no extraneous solutions
I would have done that slightly differently. From , add to both sides to get . Squaring both sides of that you get . You still have the square root form the "cross term" but since you don't have both square roots on the same side, it's a little simpler. That can be reduced, by canceling the "x" terms on both sides and canceling the "-4" and "4", to which reduces to . Now square both sides again to get x- 4= 4.
Notice that while e^(i*pi)'s equation looks like a quadratic, it is not be cause the [itex]x^2[/itex] terms on each side will cancel.