anonymous
  • anonymous
Let * be a binary operation on Real numbers defined by a*b=ab/4 Given a*b=9 Find a and b
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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anonymous
  • anonymous
help ! @TuringTest , @Mani_Jha , @dumbcow ,
mathslover
  • mathslover
ok so we are given with the following information : a * b = ab/4 a*b = 9 this means \(\large{\frac{ab}{4} = 9}\) , right ?
anonymous
  • anonymous
yes

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anonymous
  • anonymous
yes
anonymous
  • anonymous
---> ab =36
mathslover
  • mathslover
Now , can you find what will be the value of "ab" ?
anonymous
  • anonymous
ab=36 ?
anonymous
  • anonymous
100010 =36
anonymous
  • anonymous
but how i find value of a and b ?
mathslover
  • mathslover
Yes right @aman07
mathslover
  • mathslover
OK let me think for what to do after this, wait!
anonymous
  • anonymous
ok
mathslover
  • mathslover
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 ....
anonymous
  • anonymous
well i knw to do that ..but there is some method using identity element and stuff
mathslover
  • mathslover
http://www.math.csusb.edu/notes/binop/node2.html I saw something here
anonymous
  • anonymous
:( i have that already in text.. i am stuck in this particular qn :(
anonymous
  • anonymous
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)
anonymous
  • anonymous
wth ??
goformit100
  • goformit100
ok
mathslover
  • mathslover
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
mathslover
  • mathslover
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 ?
anonymous
  • anonymous
|dw:1361628824557:dw|
anonymous
  • anonymous
nope ..i think no one understands the type of qn i am referring to ..leave it ..i am leaving thanks for trying to help
ParthKohli
  • ParthKohli
@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.
mathslover
  • mathslover
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
anonymous
  • anonymous
ok
ParthKohli
  • ParthKohli
We don't have sufficient information in this question.
ParthKohli
  • ParthKohli
Do you have the answer?
anonymous
  • anonymous
no i do not have
ParthKohli
  • ParthKohli
there are infinite ordered pairs of \((a,b)\).
mathslover
  • mathslover
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 :)
mathslover
  • mathslover
but that values is where I am stuck ...
anonymous
  • anonymous
lol, interesting question and interesting asker
ParthKohli
  • ParthKohli
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.
ParthKohli
  • ParthKohli
If you want to find \(ab\), then it's 36 :-)
walters
  • walters
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|
mathteacher1729
  • mathteacher1729
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.
anonymous
  • anonymous
well i am speAKing about the working given above by @walters using identity element but still i am having confusion
walters
  • walters
where
walters
  • walters
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
anonymous
  • anonymous
can u explain it step by step pleas e?
anonymous
  • anonymous
why doesnt b*a imply ba ?
anonymous
  • anonymous
@walters ?
anonymous
  • anonymous
i dont get the step ab=36 then how u write xa=36 ?
walters
  • walters
because * (it is the star operator not multiplications) they are not equal
walters
  • walters
|dw:1361638259187:dw|
anonymous
  • anonymous
|dw:1361638483005:dw|
anonymous
  • anonymous
b can be any number
walters
  • walters
do u know the defination of the binary operator
anonymous
  • anonymous
yes
walters
  • walters
are doing Groups (abstract algebra)
anonymous
  • anonymous
.
walters
  • walters
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

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