Question

fun question (⌐■_■)

Answer 1

Determine all triplets (l,m,n) of positive integers such that \[l \le m \le n\]and\[l+m+n+lm+mn+nl = lmn+1\]

Answer 2

How is this fun lol

Answer 3

:D right nw this problem looks neat but nasty but once u see the solution u'll smile :)

Answer 4

Ok we will see about that

Answer 5

sure :D

Answer 6

How is it that you got so many Medals and we ain't done nothing yet

Answer 7

@isaac4321 since it is interesting problem. Students learn a lot from it. The medal is for the Askers who have a good question also.

Answer 8

Are we gonna work it out

Answer 9

Thanks @imqwerty your problems inspired me a lot. They tell me how not good I am, how stupid I am so that I have to try harder on my studying.

Answer 10

welcome @Loser66 i'll be posting such problems time to time :) nd hey ur smart :D

Answer 11

working cases so far

Answer 12

theres no solution for all different

Answer 13

looks like theres solutions for 2 same and 1 different, i think theres an argument here for all different not being possible something intuitively tells me that

Answer 14

nope there r 3 sets of solutions :)

Answer 15

7,3,3
1,0,0

Answer 16

oh wait1,0,0 not possible

Answer 17

7,3,3

Answer 18

and its permutations?
3,7,3
3,3,7

Answer 19

no this question is pure algebra no permutations :)