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#1 Posted 10:40pm 17-01-10 INMO 2010[image]39248122.jpg[/image] |
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#2 Posted 10:48pm 17-01-10 Re: INMO 2010question 3: [hide]http://www.mathlinks.ro/viewtopic.php?p=1745211#1745211[/hide] (solved by prophet sir)
Edited on 10:50pm 17-01-10 |
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#3 Posted 10:49pm 17-01-10 Re: INMO 2010Pls don't provide the links bfore the qsns are solved here. |
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#4 Posted 10:49pm 17-01-10 Re: INMO 2010question 6: [hide] http://www.mathlinks.ro/viewtopic.php?t=325459[/hide] (solved by prophet sir) question 1: [hide] http://www.mathlinks.ro/viewtopic.php?t=325446[/hide]
Edited on 10:50pm 17-01-10 |
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#5 Posted 1:54pm 18-01-10 Re: INMO 2010Number 3 is very easy. Dividng the given equations give x[p]2[/p]y[p]2[/p]z[p]2[/p]=(x[p]2[/p]-xy+y[p]2[/p])(y[p]2[/p]-yz+z[p]2[/p])(z[p]2[/p]-zx+x[p]2[/p]). Equality is confirmed by A.M-G.M. |
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#6 Posted 2:08pm 18-01-10 Re: INMO 2010provided you know something about the signs of x,y,z |
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#7 Posted 2:12pm 18-01-10 Re: INMO 2010Very similar to the inequality u posted here a few days back. Basically only possiblity is that only 2 reals can be negative. So best way is again to proceed by modulus. |
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#8 Posted 2:40pm 18-01-10 Re: INMO 2010Can anyone confirm my ans to the 2nd one? Primes and nos. of the form 2p, where p is a prime.
Edited on 2:41pm 18-01-10 |
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#9 Posted 3:19pm 18-01-10 Re: INMO 2010add 8,9 to that list. I've posted a solution at mathlinks |
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#10 Posted 6:06pm 18-01-10 Re: INMO 2010can anyone tell me the ans of 4? i got 16 tuples......... n i got the same eq in 3 as soumik replied........ bt i used the identity (a[p]3[/p]+b[p]3[/p]) and (a[p]3[/p]-b[p]3[/p])
jdeyrockz |
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#11 Posted 0:27pm 19-01-10 Re: INMO 2010http://www.mathlinks.ro/resources.php?c=78&cid=46&year=2010 this is hwere u can get all the questions and the answers.. hit on the question number to get the solution. |
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#12 Posted 4:48pm 19-01-10 Re: INMO 2010where the hell?? i can't find the solution of 4........
jdeyrockz |
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#13 Posted 4:50pm 19-01-10 Re: INMO 2010in 4, i got the condition that a1=a3=a5 and a2=a4=a6........ then tuples were of form p,q,p,q,p,q where p,q are from {1,2,3,4} ........
jdeyrockz |
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#14 Posted 9:21pm 19-01-10 Re: INMO 2010its been answered a little later: see this q4: http://www.mathlinks.ro/viewtopic.php?p=1746110&sid=0a2e71e9caa941aacecd0ccbae696798#1746110 |
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#15 Posted 6:01pm 26-01-10 Re: INMO 2010I got the answer of second question as all primes, twice the primes, 8 and 9. Did someone else get the same? |
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