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 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
 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

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aman07
 2 years ago
Best ResponseYou've already chosen the best response.1help ! @TuringTest , @Mani_Jha , @dumbcow ,

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.2ok so we are given with the following information : a * b = ab/4 a*b = 9 this means \(\large{\frac{ab}{4} = 9}\) , right ?

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.2Now , can you find what will be the value of "ab" ?

aman07
 2 years ago
Best ResponseYou've already chosen the best response.1but how i find value of a and b ?

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.2OK let me think for what to do after this, wait!

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.2What 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 ....

aman07
 2 years ago
Best ResponseYou've already chosen the best response.1well i knw to do that ..but there is some method using identity element and stuff

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.2http://www.math.csusb.edu/notes/binop/node2.html I saw something here

aman07
 2 years ago
Best ResponseYou've already chosen the best response.1:( i have that already in text.. i am stuck in this particular qn :(

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0i 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)

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.2I tried to search some relative problems on binary operations on internet and I found this question : if : \(\large{a\alpha b = ab }\) 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
 2 years ago
Best ResponseYou've already chosen the best response.2In 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 ?

aman07
 2 years ago
Best ResponseYou've already chosen the best response.1nope ..i think no one understands the type of qn i am referring to ..leave it ..i am leaving thanks for trying to help

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.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.

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.2Don'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

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.2We don't have sufficient information in this question.

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.2Do you have the answer?

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.2there are infinite ordered pairs of \((a,b)\).

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.2Yes 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
 2 years ago
Best ResponseYou've already chosen the best response.2but that values is where I am stuck ...

Hoa
 2 years ago
Best ResponseYou've already chosen the best response.0lol, interesting question and interesting asker

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.2There 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
 2 years ago
Best ResponseYou've already chosen the best response.2If you want to find \(ab\), then it's 36 :)

walters
 2 years ago
Best ResponseYou've already chosen the best response.0let \[x\]element R be the identity with respect to * ,then x*a=a*x=a for all a element R nowdw:1361630564587:dw dw:1361630761828:dw

mathteacher1729
 2 years ago
Best ResponseYou've already chosen the best response.0ab/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.

aman07
 2 years ago
Best ResponseYou've already chosen the best response.1well i am speAKing about the working given above by @walters using identity element but still i am having confusion

walters
 2 years ago
Best ResponseYou've already chosen the best response.0b*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

aman07
 2 years ago
Best ResponseYou've already chosen the best response.1can u explain it step by step pleas e?

aman07
 2 years ago
Best ResponseYou've already chosen the best response.1why doesnt b*a imply ba ?

aman07
 2 years ago
Best ResponseYou've already chosen the best response.1i dont get the step ab=36 then how u write xa=36 ?

walters
 2 years ago
Best ResponseYou've already chosen the best response.0because * (it is the star operator not multiplications) they are not equal

walters
 2 years ago
Best ResponseYou've already chosen the best response.0do u know the defination of the binary operator

walters
 2 years ago
Best ResponseYou've already chosen the best response.0are doing Groups (abstract algebra)

walters
 2 years ago
Best ResponseYou've already chosen the best response.0ur 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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