## mahmit2012 3 years ago if x+sqrt(x)=1 what is the value of x^2+2x.sqrt(x)

1. satellite73

$x+\sqrt{x}=1$ $\sqrt{x}=1-x$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. nickymarden

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

3. satellite73

$\sqrt{x}=1-x$ 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. nickymarden

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

5. satellite73

you really in brazil?!

6. nickymarden

haha yeah lol

7. satellite73

wow.

8. satellite73

near the ocean?

9. nickymarden

10 min :P

10. satellite73

nice

11. nickymarden

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

12. satellite73

from portuguese?

13. nickymarden

yup. all of them :)

14. satellite73

i am impressed

15. nickymarden

be

16. satellite73

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

17. nickymarden

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. satellite73

i bet brazil in nicer than england

19. nickymarden

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

20. satellite73

21. satellite73

going back when you graduate? or sooner?

22. nickymarden

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. satellite73

good luck! hope you get there soon.

24. nickymarden

thank you :)