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

1. satellite73 Group Title

$x+\sqrt{x}=1$ $\sqrt{x}=1-x$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 Group Title

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

3. satellite73 Group Title

$\sqrt{x}=1-x$ 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 Group Title

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

5. satellite73 Group Title

you really in brazil?!

6. nickymarden Group Title

haha yeah lol

7. satellite73 Group Title

wow.

8. satellite73 Group Title

near the ocean?

9. nickymarden Group Title

10 min :P

10. satellite73 Group Title

nice

11. nickymarden Group Title

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

12. satellite73 Group Title

from portuguese?

13. nickymarden Group Title

yup. all of them :)

14. satellite73 Group Title

i am impressed

15. nickymarden Group Title

be

16. satellite73 Group Title

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

17. nickymarden Group Title

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 Group Title

i bet brazil in nicer than england

19. nickymarden Group Title

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

20. satellite73 Group Title

21. satellite73 Group Title

going back when you graduate? or sooner?

22. nickymarden Group Title

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 Group Title

good luck! hope you get there soon.

24. nickymarden Group Title

thank you :)