## anonymous 4 years ago if x+sqrt(x)=1 what is the value of x^2+2x.sqrt(x)

1. anonymous

$x+\sqrt{x}=1$ $\sqrt{x}=1-x$x^2-3x+1=0 $x=1-2x+x^2$ $x^2-3x+1=0$ $x=\frac{3-\sqrt{5}}{2}$ and $1=(x+\sqrt{x})^2=x^2+2x\sqrt{x}+x$so $x^2+2\sqrt{x}=1-\frac{3-\sqrt{5}}{2}=\frac{2-3+\sqrt{5}}{2}=\frac{-1+\sqrt{5}}{2}$

2. anonymous

where did you get x^2-3x+1=0 from? Oo

3. anonymous

$\sqrt{x}=1-x$ square both sides get $x=(1-x)^2=1-2x+x^2$ set equal to zero to solve the quadratic get $x^2-3x+1=0$ unless i goofed up

4. anonymous

no, you're right, i just didn't pay attention :P

5. anonymous

you really in brazil?!

6. anonymous

haha yeah lol

7. anonymous

wow.

8. anonymous

near the ocean?

9. anonymous

10 min :P

10. anonymous

nice

11. anonymous

so if i sometimes say something wrong in my questions, it's becaus i have to translate them all :)

12. anonymous

from portuguese?

13. anonymous

yup. all of them :)

14. anonymous

i am impressed

15. anonymous

be

16. anonymous

why not? i can barely speak one language, and portuguese is way different than english

17. anonymous

yeah but i lived in england for a few years when i was little, so i still remember a few things. The hard part is to know scientific words, but MIT open course helps me with that lol

18. anonymous

i bet brazil in nicer than england

19. anonymous

no way, i'm doing everything to go back. where are you from?

20. anonymous

21. anonymous

going back when you graduate? or sooner?

22. anonymous

sooner, my dad works in reasearch and he knows a lot of people at some universities in england so i might try to get a transfer or something when he goes there to do his Post-doc

23. anonymous

good luck! hope you get there soon.

24. anonymous

thank you :)