Rough root equation, need help

1. Dec 1, 2004

vabamyyr

$$\sqrt{x} + \sqrt{x+2} + \sqrt{x}\sqrt{x+2}=16,5-x$$

Last edited: Dec 1, 2004
2. Dec 1, 2004

arildno

Is $$\sqrt{x}x=x^{\frac{3}{2}}$$ ?
Or is this a typo?

3. Dec 1, 2004

arildno

Hint:
$$\frac{1}{2}(\sqrt{x}+\sqrt{x+2})^{2}=x+\sqrt{x}\sqrt{x+2}+1$$

4. Dec 1, 2004

vabamyyr

thanks, i knew i had to transform my initial equation to square equation over new variable, so, yes, ur hint is the key, thanks again