Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

experimentX Group Title

this is bugging me: for any \( a, b, c, d > 0\) prove that \[ {a^2 \over b} + {b^2 \over c} + {c^2 \over d} +{d^2 \over a} \geq a+ b+c+d \] Also if \( a+b+c=ab+bc+ca \) \[ \frac{a^2}{b}+\frac{b^2}{c}+\frac{c^2}{a} \geq {(a + b +c)(a^2 + b^2 + c^2)\over ab + bc +ac} \]

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    man u most be on tensor and pde now...lol :)

    • 2 years ago
  2. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    on ... just for fun. if possible quick ... man

    • 2 years ago
  3. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    just this is bugging me so badly Exercise 1.1.8.

    • 2 years ago
  4. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    https://web.williams.edu/go/math/sjmiller/public_html/161/articles/Riasat_BasicsOlympiadInequalities.pdf

    • 2 years ago
  5. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Ctrl + F ... search 1.1.8. Don't have much time to waste

    • 2 years ago
  6. waterineyes Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Actually, this question is very easy.. @experimentX

    • 2 years ago
  7. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    how ??

    • 2 years ago
  8. waterineyes Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Did not you get the question clearly ?? It is saying to prove that thing..

    • 2 years ago
  9. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    how do you prove that?

    • 2 years ago
  10. waterineyes Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Actually, I am talking about question.. Its solution is easy or not I don't know.. Ha ha ha..

    • 2 years ago
  11. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    already wasted 1 hrs ... can't waste another ... lol

    • 2 years ago
  12. waterineyes Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Actually, that pdf is quite useful for me.. Thanks for giving me that..

    • 2 years ago
  13. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    some fool upvoted me :D ... that doesn't work at all .... lol

    • 2 years ago
  14. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    man second one's RHS will simplify to\[a^2+b^2+c^2\]

    • 2 years ago
  15. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah ... i know that ... just need to prove it.

    • 2 years ago
  16. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    olypiad problems ... i find it extremely difficult even at my level man!! i need to dig a hole hide.

    • 2 years ago
  17. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    what kind of technique is this http://www.wolframalpha.com/input/?i=Minimize[{x+%2B+2+n%2Fx%2C+n+%3C%3D+3+%26%26+x+%3E%3D+3}%2C+{x}]

    • 2 years ago
  18. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    for the first one use AM_GM 4 times\[\frac{a^2}{b}+b\ge 2a\]\[\frac{b^2}{c}+c\ge 2b\]...

    • 2 years ago
  19. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    crazy crafty manipulation

    • 2 years ago
  20. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    the second one ... i can prove half of the original problem without it.

    • 2 years ago
  21. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    the last inequality i can get bu the use of quadratic formula ... but can't find any use of ... inequality n<=3

    • 2 years ago
  22. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    particularly I mean this http://www.wolframalpha.com/input/?i=Minimize[{x+%2B+3+n%2Fx%2C++x+%3E%3D+3}%2C+{x}]

    • 2 years ago
  23. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    what kind of problems is this x + 3n/x ... for x >= 3

    • 2 years ago
  24. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    sorry man i was out...how u realte this to second one?

    • 2 years ago
  25. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    can't ...have to do without it.

    • 2 years ago
  26. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    don't know what property is used here ..

    • 2 years ago
  27. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    i found it from one my books i will copy it here \[(a+b+c)(\frac{a^2}{b}+\frac{b^2}{c}+\frac{c^2}{a}) \geq (a+b+c)(a^2+b^2+c^2)\]\[\frac{ab^3}{c}+\frac{bc^3}{a}+\frac{ca^3}{b} \geq b^2c+c^2a+a^2b\]use AM_GM 3 times\[\frac{ab^{3}}{c}+\frac{bc^{3}}{a}\ge 2b^{2}c\]...

    • 2 years ago
  28. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    which book do you use man??

    • 2 years ago
  29. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    oh sorry man original book is in persian and not translated to other languages :(

    • 2 years ago
  30. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    this is 500 pages about geometry and inequalities

    • 2 years ago
  31. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    you follow a very good writer!!

    • 2 years ago
  32. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    yeah :)

    • 2 years ago
  33. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    see u later santosh

    • 2 years ago
  34. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    see ya :) thanks for help man

    • 2 years ago
  35. waterineyes Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Are you Linkha Santosh @experimentX ?? Sorry if there is any spelling mistake in name..

    • 2 years ago
  36. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    no mistake ... the first is my surname.

    • 2 years ago
  37. waterineyes Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Santosh Linkha ..??

    • 2 years ago
  38. waterineyes Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    That day you said now a days, everyone is on Facebook and I was just wondering why experimentX who said those words is not on Facebook..?? Now, it is clear to me..

    • 2 years ago
  39. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    lol ... what words?

    • 2 years ago
  40. waterineyes Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    I have written those.. "Everyone is on Facebook".. I think these you said to Yahoo that day..

    • 2 years ago
  41. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    oh yeah ... kinda remembered on thing "if you are searched in Google instead of fB then you are successful person"

    • 2 years ago
  42. waterineyes Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Ha ha ha... Yeah, this is true one..

    • 2 years ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.