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mahmit2012

  • 2 years ago

if x+sqrt(x)=1 what is the value of x^2+2x.sqrt(x)

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  1. satellite73
    • 2 years ago
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    \[x+\sqrt{x}=1\] \[\sqrt{x}=1-x\]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
    • 2 years ago
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    where did you get x^2-3x+1=0 from? Oo

  3. satellite73
    • 2 years ago
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    \[\sqrt{x}=1-x\] 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
    • 2 years ago
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    no, you're right, i just didn't pay attention :P

  5. satellite73
    • 2 years ago
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    you really in brazil?!

  6. nickymarden
    • 2 years ago
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    haha yeah lol

  7. satellite73
    • 2 years ago
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    wow.

  8. satellite73
    • 2 years ago
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    near the ocean?

  9. nickymarden
    • 2 years ago
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    10 min :P

  10. satellite73
    • 2 years ago
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    nice

  11. nickymarden
    • 2 years ago
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    so if i sometimes say something wrong in my questions, it's becaus i have to translate them all :)

  12. satellite73
    • 2 years ago
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    from portuguese?

  13. nickymarden
    • 2 years ago
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    yup. all of them :)

  14. satellite73
    • 2 years ago
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    i am impressed

  15. nickymarden
    • 2 years ago
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    be

  16. satellite73
    • 2 years ago
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    why not? i can barely speak one language, and portuguese is way different than english

  17. nickymarden
    • 2 years ago
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    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
    • 2 years ago
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    i bet brazil in nicer than england

  19. nickymarden
    • 2 years ago
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    no way, i'm doing everything to go back. where are you from?

  20. satellite73
    • 2 years ago
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    philadelphia

  21. satellite73
    • 2 years ago
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    going back when you graduate? or sooner?

  22. nickymarden
    • 2 years ago
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    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
    • 2 years ago
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    good luck! hope you get there soon.

  24. nickymarden
    • 2 years ago
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    thank you :)

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