Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

aman07

  • 2 years ago

Let * be a binary operation on Real numbers defined by a*b=ab/4 Given a*b=9 Find a and b

  • This Question is Open
  1. aman07
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    help ! @TuringTest , @Mani_Jha , @dumbcow ,

  2. mathslover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    ok so we are given with the following information : a * b = ab/4 a*b = 9 this means \(\large{\frac{ab}{4} = 9}\) , right ?

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

    yes

  4. aman07
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes

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

    ---> ab =36

  6. mathslover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Now , can you find what will be the value of "ab" ?

  7. aman07
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ab=36 ?

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

    100010 =36

  9. aman07
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    but how i find value of a and b ?

  10. mathslover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Yes right @aman07

  11. mathslover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    OK let me think for what to do after this, wait!

  12. aman07
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok

  13. mathslover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    What we have yet as a first way to get rid of this is "hit and trial" but really I don't think that hit and trial will be a satisfactory method ....

  14. aman07
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    well i knw to do that ..but there is some method using identity element and stuff

  15. mathslover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    http://www.math.csusb.edu/notes/binop/node2.html I saw something here

  16. aman07
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    :( i have that already in text.. i am stuck in this particular qn :(

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

    i got it now. you have ab =36 that means a=3 and b =6. in binary system, 3= 10 (one zero) and 6 = 1001. make multiplication between them , you got exactly 36 in both code (binary and 10 system)

  18. aman07
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    wth ??

  19. goformit100
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  20. mathslover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    I tried to search some relative problems on binary operations on internet and I found this question : if : \(\large{a\alpha b = |a-b| }\) then what will be \(\large{6\alpha 8 }\) . Of course that will be 2 but the question given is not exactly what we have in m

  21. mathslover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    In my question (contd. from the previous post.) Ok, I have never learnt it but I thought it is a type of mental ability question... Is it also related to binary numbers ?

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

    |dw:1361628824557:dw|

  23. aman07
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    nope ..i think no one understands the type of qn i am referring to ..leave it ..i am leaving thanks for trying to help

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

    @hoa "binary" doesn't mean "binary numbers"; it is just an operation you are doing with two numbers. Remember that "binary" stands for the numeral two.

  25. mathslover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Don't get depressed from the help here given by me @aman07 ... we have at present many users seeing this question and I am sure that some people are still here who are aware of these type of problems. Just have patience aman... wait for them to respond

  26. aman07
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok

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

    We don't have sufficient information in this question.

  28. ParthKohli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Do you have the answer?

  29. aman07
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no i do not have

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

    there are infinite ordered pairs of \((a,b)\).

  31. mathslover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Yes right @ParthKohli . There is no sufficient information to solve for a and b.. though i can say : a = 36/b and b = 36/a :)

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

    but that values is where I am stuck ...

  33. Hoa
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    lol, interesting question and interesting asker

  34. ParthKohli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    There are infinite values for \((a,b)\). We could have considered a particular pair if we had a much more restricted set/interval or the value of either of them.

  35. ParthKohli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    If you want to find \(ab\), then it's 36 :-)

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

    let \[x\]element R be the identity with respect to * ,then x*a=a*x=a for all a element R now|dw:1361630564587:dw| |dw:1361630761828:dw|

  37. mathteacher1729
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ab/4 = 9 means... Step 1: multiply a times b Step 2: divide by 4 the result is 9. That means 9*4 = a*b = 36 So a and b could be 9 and 4 or 18 and 2 or 3 and 12 or any two digits that multiply to 36. We'd need more information to narrow down the possibilities of what a and b could be. Are they both positive? Are they both positive integers? Are they both positive integers within a certain range? etc.

  38. aman07
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    well i am speAKing about the working given above by @walters using identity element but still i am having confusion

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

    where

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

    b*a does not neccesary means b multiply by a ,that's why i let x to identity knowing that i will have xa/4 and assign it to a but since a*b =9 this will also means that if a take x*a i will get the same value as a*b because of the binary operator

  41. aman07
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    can u explain it step by step pleas e?

  42. aman07
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    why doesnt b*a imply ba ?

  43. aman07
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @walters ?

  44. aman07
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i dont get the step ab=36 then how u write xa=36 ?

  45. walters
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    because * (it is the star operator not multiplications) they are not equal

  46. walters
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1361638259187:dw|

  47. aman07
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1361638483005:dw|

  48. aman07
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    b can be any number

  49. walters
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    do u know the defination of the binary operator

  50. aman07
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes

  51. walters
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    are doing Groups (abstract algebra)

  52. aman07
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    .

  53. walters
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ur questions means a*b if u take any 2 real numbers and map them the result will be in the form of multiplication of ur 2 real numbers divide by 4 and we know that tha mapping of those two numbers is equal to 9 tht's y i 've used 36 on my calculation because of the conditions i have

  54. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.