1. ## Help with this equation please.

(the jpeg is attached - have I done it right?)

Anyway, my initial thoughts are to square either side to get ride of the root sign, but that doesn't make things any easier.

2. Originally Posted by bluebiro
(the jpeg is attached - have I done it right?)
Great ! It's better for some people because they can't view pictures from external websites

Anyway, my initial thoughts are to square either side to get ride of the root sign, but that doesn't make things any easier.
Quite !
I think it's better to write firstly this way : $\displaystyle x-2 \le \sqrt{x^2-9}$ and then to square it

However, be careful with the domain, since $\displaystyle x^2-9$ has to be positive.
Your answer will be in the form of intervals. So you'll have to take the intersection of these intervals with the domain.

3. Originally Posted by Moo
Great ! It's better for some people because they can't view pictures from external websites

Quite !
I think it's better to write firstly this way : $\displaystyle x-2 \le \sqrt{x^2-9}$ and then to square it

However, be careful with the domain, since $\displaystyle x^2-9$ has to be positive.
Your answer will be in the form of intervals. So you'll have to take the intersection of these intervals with the domain.
Thank you so much for the second time today!