Past Olympiad Question Help

11 Answers

21
Arnab Kundu ·

Experts please guide .

11
Devil ·

I think there are none.

21
Shubhodip ·

Careful!!

put m=n=0

11
Devil ·

Subhodip, I continue to hold my view.

21
Shubhodip ·

Sorry for carelessness..
Btw , solution please..

1
rohan sarkar ·

I can give an idea(although i haven't solved the problem completely). first we consider that one of the $p,q$ is equal to 1 an then solve it (i think it will not be too hard).now we observe that $p$ and $q$ are relatively prime..We suppose that both m and n are greater than 2 and then a trivial inequality will lead to the conclusion that both of them should be at most 2.now we check each cases and i think we will arrive at some satisfactory conclusion.

21
Shubhodip ·

Nope..there r solutions..

I read this one mathlinks , probably IRAN TST q and was also in INDIAN Postal coaching.. :P

1
manisha ·

there will be infinite number of solutions for this. because it is not given that they r unique.so put m,n=0 then we get p=1/q which has many solutoins for p and q. i am not sure bt hope to be correct

11
Devil ·

May be there are in that case Shubho, I guess I'll have to recheck, perhaps...

BTW can you give me the link? I mean I kind-off still feel there cannot exist solutions to this....

1
bumbamajumder ·

I AM A NEW USER HERE........

SO I CANNOT MAKE FOORUM.
PLEASE ANSWER ME WHICH ONE IS BETTER IN CASE OF SALARY AND JOB SECURITY CIVIL OR CHEMICAL. GOD

11
Devil ·

Ah - so silly of me!

The eqn is just p2q2=(p+q)2+1

Along with the odd restriction pq=5

:P

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