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 one year ago
Let * be a binary operation on Real numbers
defined by
a*b=ab/4
Given a*b=9
Find a and b
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.1help ! @TuringTest , @Mani_Jha , @dumbcow ,

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

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

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

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

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

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

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

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

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

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

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

walters
 one year 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
 one year 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
 one year 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
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.1can u explain it step by step pleas e?

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

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

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

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

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

walters
 one year 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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